For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 6 options:

A)

right 2 and upward 3.

B)

right 3 and upward 2.

C)

left 3 and downward 2.

D)

left 2 and downward –3.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Then f(x - 2) represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then f(x - 2) + 3 is shift to the right of 2 and up by 3 units

Answer 2

Answer:

right 2 and upward 3.

Step-by-step explanation: I took the test


Related Questions

Error Analysis

On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?

The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)

The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)

What error might Jake have made?

A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).

Answers

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

Louisa has a goal of collecting 100 pounds of dog food for a local shelter. She records how many pounds of food she collects each week. Week Pounds Collected 1 20.5 2 18 and three-fourths 3 32.75 How many more pounds of dog food does Louisa need to reach her goal? 18 27 28 72

Answers

Given:

Louisa has a goal of collecting 100 pounds of dog food for a local shelter.

The table of values which represents the number of pounds of food she collects each week.

To find:

The number of more pounds of dog food Louisa need to reach her goal.

Solution:

For first week = 20.5 pounds

For second week = [tex]18\dfrac{3}{4}=18.75[/tex]

For third week = 32.75

Now,

[tex]\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=100-72[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}[/tex]

Therefore, the correct option is C.

14.)A baseball team play 34 games in their season. If they won 55% of the
games they played how many did they win

Answers

They won 18.7 or 19 games if rounded up

=
105 min
game
?hr.
game
Help please

Answers

Answer:

105 minutes= 1 hour and 45 minutes

Answer:

1 hour and 45 minutes

or

1.75 hours

A membership to the gym costs $25 per person in 1995. The membership cost has increased by an average of $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995.What is the cost of a gym membership in 2009?

Answers

Answer:

The cost of a gym membership would be 109

Step-by-step explanation:

2009-1995=14

thats how many years apart from each other

so its been 14 years $6 for each year so 14x6=84

so the regular price was $25 and went up 84 dollars last 14 years.

25+84=109 so the price of gym membership would be $109

Which statements are true about the ordered pair (10, 5) and the system of equations?

{ 2x−5y=−5
{ x+2y=11


Select each correct answer.


The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true.

The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true.

The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (10, 5) is a solution to the system because it makes both equations true.

Answers

Answer:

the solution to the system is (5,3)

Step-by-step explanation:

the first statement is True:    2(10) - 5(5) = -5

                                                20 - 25 = -5

                                                  -5 = -5

the second statement if False:    10 + 2(5) ≠ 11

the third statement is True

the last statement is False

A circle has a diameter of 32 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Step-by-step explanation:

We know that the circle has a diameter of 32 meters.

And we want to find its circumference.

The circumference of a circle is given by the formula:

[tex]C=\pi d[/tex]

Where d is the diameter.

So, we will substitute 32 for d and we will use 3.14 for π. Hence, our circumference will be:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Answer:

100.48 m

Step-by-step explanation:

C=2(3.14)r

C=2(3.14)(16)

C= 100.48 m

Find the slope of the lines that go through the following points.

Answers

Answer:

use the formula y2 - y1 / x2 - x1

Answer:

y2-y1 /x2-x1

Step-by-step explanation:

slope is the same as gradient

follow this principle (x,y)

Gradient (m) =y2-y1 /x2-x1

Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?

Answers

Answer:

c+35/100c

Step-by-step explanation:

SUPER EASY SOLVE THIS ILL MARK AS BRAINLIEST PLEASE
THE ATTACHMENT

Answers

Answer:

7

40

the answer is 7 fortyths

working out

3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths

5 sixths +1 third + 1 half = 10 sixths

7 twentyforths divided by 10 sixths= 7 fortyths

Solve :x^7/x^5+2x^4+x^3 × (x+1)^3/x^4 ​

Answers

(2x^5+2x^3+3x^2+3x+1)/x

What does the word Expressions mean in mathematics in your own words?

Answers

Answer:

Expression in mathematics means word problem.

a girl paid 6.28 for 3/4 pound of shrimp. what was the unit price in dollars per pound?

Answers

Divide the amount spent by the weight:

6.28 / 3/4 = 8.37

Unit price is $8.37 per pound

please help!!! if anyone knows

Answers

Answer:

The answer is 24in a am very sure

Step-by-step explanation:

Answer: The missing side is 24 inches

Step-by-step explanation:

Since it is a right angle that  means that we can use the Pythagorean Theorem formula to solve for   the B.

The formula says that  a^2 + b^2 = c^2   Since we know  a is 18 and c is 30 we will input the value into the formula to solve for b.

18^2 + b^2 = 30^2

324 + b^2 = 900

-324               -324

  b^2 = 576

  b = [tex]\sqrt{576}[/tex]  

  b  = 24

If you buy every item in the song, The Twelve Days of Christmas, how many items will you buy?

Answers

Answer:

Total item = 364

Step-by-step explanation:

1 partridge for 12 days = 12 x 1 = 12

2 turtle doves for 11 days = 11 x 2 = 22

3 french hens for 10 days 10 x 3 = 30

4 calling birds for 9 days = 9 x 4 = 36

5 gold rings for 8 days = 8 x 5 = 40

6 geese a-laying for 7 days = 7 x 6 = 42

7 swans a-swimming for 6 days = 6 x 7 = 42

8 maids a-milking for 5 days = 5 x 8 = 40

9 ladies dancing for 4 days = 4 x 9 = 36

10 lords a-leaping for 3 days = 3 x 10 = 30

11 pipers piping for 2 days = 2 x 11 = 22

12 drummers drumming for 1 day = 1 x 12 = 12

Total item = 364

At the end of the harvest season, Omar wonders if it is time to cover the garden with a tarp. He understands that as the temperature decreases, moisture in the air condenses into dew which freezes at 0 degrees Celsius and may damage the plants in the garden. * At 4:00 pm, the temperature is 5 degrees Celsius * The temperature is predicted to decrease 0.5 degrees Celsius every two hours until 4:00 am. #4 Part A: Does Omar need to cover the garden

Answers

Answer:

Non il n'a pas besoin de couvrir le jardin

Step-by-step explanation:

Comme à 16h il fait 5°C, on enlève 0.5°C toutes les deux heures donc à 18h il fera 4.5°C, à 20h il fera 4°C, à 22h il fera 3.5°C, à 0h il fera 3°C, à 2h il fera 2.5°C et à 4h la dernière heure où la température baisse il fera 2°C

Could you guys help me solve 9 I would appreciate it :)

Answers

Answer:

Step-by-step explanation:

12<18/3(-2)+12  turns into 12<18/-6+12

False

click on the volume of this rectangular prism.

Answers

Answer: 192 cubic inches

Step-by-step explanation:

Please help!!!! I don’t get it

Answers

Answer:

x = 9

m<b = 54

m<e = 54

Step-by-step explanation:

x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination

Answers

Answer:

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Step-by-step explanation:

use substitution method

x+y = 42 ------ (1)

xy = 108 ------ (2)

from (1) ,

x+y = 42

y = 42-x ------ (3)

substitute (3) into (2)

xy = 108

x( 42-x ) = 108

42x - x² = 108

-x² + 42x - 108 = 0

x² - 42x + 108 = 0

use the following formula to solve the value of x:

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

a = 1

b = -42

c = 108

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]

[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 + 3 \sqrt{37} [/tex]

[tex]x = 39.25[/tex]

[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]

[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 - 3 \sqrt{37} [/tex]

[tex]x = 2.75[/tex]

the 2 values of x are x = 39.25 and x = 2.75

substitute x = 39.25 into (3)

y = 42-x

y = 42-39.25

y = 2.75

substitute x = 2.75 into (3)

y = 42-x

y = 42-2.75

y = 39.25

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Solve for x.
(x + 13) ft
24 ft

Answers

Answer:

x = 9.

Step-by-step explanation:

If you meant (x + 13) = 24, then we first must subtract 24 by 13.

24 - 13 = 9

Now, check your work by replacing the "x" with 9.

(9+ 13) = 24

24 = 24 <----- This is a true statement.

Therefore, x = 9.

Hope this helps! :D

please help meeeeeeeeeee

Answers

Answer:

x=-5

Step-by-step explanation:

If f(x)=0, then x=-5

Drawing the line y=0 shows this visually

Find the area of the irregular shape !!!

Answers

Step-by-step explanation:

Area of triangle = base × height ×½

triangle = 9×8×½=36cm²

rectangle = length×width

rectangle = 15×26=390cm²

area of irregular fig= 390+36 =426cm²

Michael returned a bag of cans and received $4.65 back. If the deposit for each can was $0.05, how many cans did he return?

Answers

Answer:

I'm not sure

Step-by-step explanation:

I have no idea how to find the values of x and y in that diagram. Can someone help?

Answers

Answer:

Multiple choice?

Step-by-step explanation:

Please help I got to get this done to move on in math (my teacher wont unlock anything till i get this done i have till tomorrow)

Answers

Step-by-step explanation:

please see it my steps to work this problem

Answer:  10x - 1

==============================================

Explanation:

The multiplicative inverse of x is 1/x, and vice versa. This is true as long as x is not 0.

The multiplicative inverse of 1/5 is 5. These two values multiply to 1. This is true of any multiplicative inverse pairing.

----------

What we need to do is multiply 5 with (2x-1/5)

Use the distributive property to get the following

5*(2x-1/5)

5*(2x) - 5*(1/5)

10x - 5/5

10x - 1

I multiplied the outer 5 by each term inside (the 2x and 1/5) and simplified.

Will give crown! Help

Answers

Answer: The slope is -5/7

Step-by-step explanation:

Slope is rise/run

The rise is -5, and the run is 7

This is why the slope is -5/7

Answer:

The rise is 6 and the run is 7 6/7

Rewrite y - 3 = 4(x + 2) in slope intercept form. Type in your answer without using any spaces. Example: y=-3/4x+12

Answers

Answer:

y=4x+11

Step-by-step explanation:

Answer:

y=4x+11

Step-by-step explanation:

y - 3 = 4(x + 2)

=

y - 3 =4x + 8

=

y - 3 (+3) = 4x + 8 (+3)

=

y=4x+11

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answers

Answer:

y = -2/3x + 300

Step-by-step explanation:

Since the line is linear, we can find the equation of the line in y=mx+b form.

First, you have to find the slope using the slope formula.  Pick two points from the graph and plug it into the equation.  It doesn't matter which ones; you will get the right answer regardless.  I picked the points (0, 300) and (450, 0).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{300 -0 }{0 -450 }\\m=\frac{300}{-450} \\m=-\frac{2}{3}[/tex]

You now have slope (m).  You have to find the y-intercept (b) next.  The y-intercept is the point where the line crosses the y-axis.  For this graph, the line crosses the y-axis at (0, 300), making the y-intercept 300.

Since you have m and b, you can plug the values into y=mx+b.

y = mx + b

y = -2/3x + 300

express the scientific notation:4830000000 with all formula​

Answers

Answer:

4.83 * 10^9

Step-by-step explanation:

Here, we want to express the given number in scientific notation

What we have to do here is to place the decimal number at the back of the first non zero number

The first non zero number is 4

So

let us count the number of digits after the first non zero number

That will be 9

So we make this the power of 10

And our answer will be;

4.83 *10^9

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