describe the transformation of f(x) = sin x to g(x) = sin x - 17

Describe The Transformation Of F(x) = Sin X To G(x) = Sin X - 17

Answers

Answer 1

Answer: To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Amplitude:  1

Period: 2π

Phase Shift: 0( 0 to the right)

Vertical Shift: −17

Answer 2

Answer:

f(x) is shifted 7 units down to g(x).

Step-by-step explanation:

Got it right!


Related Questions

What of the following lines is perpendicular to the line passing across the points (1,1) and (-5,-6)?

y = 6/7x + 1

y = -6/7x + 1

y = -6/7x - 1

y = 6/7x - 1

Answers

First find slope
(-6-1)/(-5-1) = -7/-6 = 7/6
Perpendicular = opposite sign and reciprocal slope
Slope would be -6/7
It would be anything with slope of -6/7

What is the slope of the line graphed below

Find the equation of the line above. Write the equation in slope intercept form.

Answers

Slope is 1/3

Equation of the line is:

y = 1/3x - 8

Write the quadratic function in vertex form, then identify the vertex

h(x)=x^2+20x+90

h(x)=

Vertex:

I need this answered ASAP please !

Answers

Answer:

vertex = (- 10, - 10 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

h(x) = x² + 20x + 90

add/subtract ( half the coefficient of the x- term )²

h(x) = x² + 2(10)x + 100 - 100 + 90

      = (x + 10)² - 10 ← in vertex form

with (h, k ) = (- 10, - 10 )

In how many map squares did we spot less than 20 plant species
help plssss

Answers

Answer:

two map squares ☺️☺️☺️☺️

K mola ofkg o okdgmbo9k

Answers

Answer: c

Step-by-step explanation:

C because the hour each have 25 more added to it

A bacteria culture grows with constant relative growth rate. The bacteria count was 2,560 after 4 hours and 2,621,440 after 12 hours.
(a) What is the relative growth rate? Express your answer as a percentage. (Round your answer to two decimal places.)
% per hr
(b) What was the initial size of the culture?
bacteria
(c) Find an expression for the exact number of bacteria after t hours, (t).
y(t) =
(d) Find the number of bacteria after 5.5 hours. (Round your answer to the nearest whole number.)
bacteria
(e) Find the rate of growth in bacteria per hour) after 5.5 hours. (Round your answer to the nearest whole number.)
bacteria per hour
(f) How many hours did it take for the population to reach 104,000? (Round your answer to two decimal places.)
hr

Answers

Answer:

A. 86.64%

B. 80

C. y(t)= 80[tex]e^{0.8664t}[/tex]

D. y(5.5) = 9388

E. y(t) = 8134 bacteria for every hour

F.  8.28 hours

Step-by-step explanation:

a. The bacteria count after 4 hours y(4) = 2560

The bacteria count after 12 hours y(12) = 2621440

equation 1: ye^4k = 2560

equation 2: ye^12k= 2621440

divide (2) by (1),

e^8k = 1024

Taking ln both sides:

ln(e8k ) = ln(1024)

8k = 6.931

k=0.8664      // after dividing both sides by 8

rate of growth k% = 0.8664*100 = 86.64%

b. substituting for k in equation 2:

   ye^4*0.8664 = 2560

   Initial bacteria count y(4) = 80

c. y(t)= 80e^0.8664t

d. the number of bacteria after 5.5 hours => y(5.5) = 80[tex]e^{0.8664(5.5)}[/tex] ≈ 9388

e. y'(5.5) = 80*0.8664e^0.8664(5.5) = 69.31e^0.8664(5.5) = 8134

f. for bacteria population = 104000

where ye^0.8664t = 104000

   y = 80

   80e^0.8664t = 104000    //divide both sides by 80

   e^0.8664t = 1300

   ln(e^0.8664t = ln(1300)

   t = 7.17 / 0.8664 = 8.28 hours

1+7=?
Please so your work :)

Answers

Answer:

it is 8

Step-by-step explanation:

1+1+1+1+1+1+1+1

2+2+2+2

4+4

8

Answer:

8

Step-by-step explanation:

Does this scatter plot show a positive trend, a negative trend, or no trend?​

Answers

it shows a negative trend

Answer:

no trend

a positive trend would start in the bottom left and go toward the top right

a negative trend would start at the top left and go town the bottom right

this is an example of no trend

Step-by-step explanation:

a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.

WILL MARK BRAINLIEST
please help geometry problem in the picture

Answers

(x-6, y+8)

Count how many units horizontally and vertically from one green corner and see how many units it takes to get the blue corner.

You minus 6 from x because it is going in the left direction. You add 8 to the y because it is moving upwards which is a positive direction

p(n) = -8n^2 + 9n, Find p(10)

Answers

Answer:

first

put the value of p(10) in the place n,

2-multiply -8×10^2+9×10

3-:- -8×100+90

4:-800+90=710ans

When 605,000 is written in scientific notation, what will be the value of the exponent?

Answers

6.05 x 10^5

I think this is the answer

jerry's softball team is made up of 15 players,and 9 of them are boys.On the team,what is ratios to boys to girls?

Answers

Answer:

9:6

Step-by-step explanation:

boys= 9 teammates

girls= 6 teammates

The sum of x and y equals 26.

If x= 17, which equation can be used to find the value of the y?

Answers

26-17=9
which means y=9

Emma poured 40 fl oz. of grape juice equally into 5 cups. How much grape juice does each cup contain?
fl oz. per cup ?

Answers

Answer:

The correct answer is 8 fluid ounces per cup.

Step-by-step explanation:

To solve this problem, we need to divide the total amount of grape juice that Emma has (40 fl oz) by the number of cups she is pouring the juice into (5).

40 oz total/5 cups = 8 oz/cup

Therefore, each cup contains 8 fl oz.

Hope this helps!

2х + y = 4
у = 3х – 1

Answers

its 2 because 2plus is 2

Edmund made a scale drawing of the rectangular floor of his kitchen. In the scale
drawing, 1 inch represents 2.5 feet. The measurements of the scale drawing are
shown in the diagram.
6.4 in.
4.8 in.
what is the perimeter of the actual kitchen floor in feet?

Answers

2.5*6.4=16, 2.5*4.8=12. 12+12+16+16=56

Answer:

324

Step-by-step explanation:

another 10 points cause i messed up

Answers

Answer:

thank you? i guess...

Step-by-step explanation:

Please help me with math ASAP

Answers

Answer:

Step-by-step explanation:

Well what's your question

find the slope given the points (-5 -3) and (2 4)

Answers

The slope is 1.

rise = 7
run = 7

7/7 = 1

Answer:

1

Step-by-step explanation:

The equation [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1}}[/tex], the points are (-5, -3) and (2, 4), so to know which is which just do it by order, so in this case [tex]y_{1} = 4, y_{2} = -3, x_{1} = -5, x_{2} = 2[/tex] basically like i said, just in order.

So let's separate the equations into 2 for now:

[tex]y_{2} - y_{1}[/tex] = 4 - (-3) = 4 + 3 = 7

[tex]x_{2} - x_{1}[/tex] = 2 - (-5) = 2 + 5 = 7

So put it together into the fraction and it's 7/7 which is 1, so the slope is 1

In class, 30 people have brown shoes, 5 have green shoes, and 1 has blue shoes.
What is the unit ratio of people with green shoes to all the people.

Answers

Answer:

5 : 36

There are 36 people in total and only 5 have green shoes.

Jose walked 5.3 miles to school. After school, he walked 4.52 miles to the library.
Finally, he walked 2.89 miles home. How far did Jose walk in all?

Answers

Answer: Problem worked out in picture

Step-by-step explanation:

Merry Christmas

12.71 miles ........

Need help please
I haven a picture and seems like no one wants to help I need it please I will mark you the brainiest

Answers

Answer:p

pn gv=0753vc

Step-by-step explanation:

Given f(x) = 5(2-x), what is the value of f(-3) ?

Answers

Answer:

f(-3) = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 5(2 - x)

f(-3) is x = -3

Step 2: Evaluate

Substitute:                    f(-3) = 5(2 - -3)Simplify:                        f(-3) = 5(2 + 3)Add:                              f(-3) = 5(5)Multiply:                        f(-3) = 25

Darnell’s team scored 40 points at the game. Darnell scored 15% of the team’s points. How many points did Darnell score?

Answers

Answer: 6 points

Work:
15/100=0.15
40•0.15=6

Identify the following parasite provided and draw a large labelled diagram of each
specimen​

Answers

Answer:

Spiced eye gonna flush my toilet now ;)

Answer:

hes right

Step-by-step explanation:

Please give me the correct answer ​

Answers

Answer:

the first one; 3*1/10^-4

Step-by-step explanation:

10^-4 can be ocnverted into a fraction: 1/10^4

Answer:

3 times 1/10,000

Step-by-step explanation:

Factor completely 25x +60

Answers

Answer:

5(5x+12)

Step-by-step explanation:

So, take everything out.

GCF 25 and 60

5*5 and 5*3*4

5 is the common factor.

5(5x+12)

Hope this helps plz hit the crown :D

#Team Rainbows!

It’s 5(5x+12) I just had the same question

There are 42 boys and 48 girls in sixth grade and each student must be assigned a home room. Each homeroom should have the same number of boys and the same number of girls.

what is thegreatest possible number of sixth grade students?

Answers

Answer:

50

Step-by-step explanation:

you add 42 and 48 i think

What is the 97.2x10 for the 4th power

Answers

if i understand what you are asking then 97.2x10 to the 4th power is equal to 97,200

Find the slope of the line containing the two given points.

(9,-5) and (6,8)

Answers

Answer:

13/-3

Step-by-step explanation:

Answer:

-13/3

Step-by-step explanation:

The slope is rise over run.

From the first point to the other, the line goes 13 units up and -3 units to the right.

Putting it in the form of rise over run we have:

13/-3 which is the same as -13/3

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