The graph of g is a vertical stretch by a factor of 4 and a reflection in the x-axis, followed by a translation 2 units up of the graph of f(x)=x2. Write a rule for g. Then identify the vertex.

Answers

Answer 1

Answer:

f(x)=x^2

g(x)= -4(x^2)+2

(0,2)

Step-by-step explanation:

Answer 2

Using transformation concepts, it is found that:

The rule for g is: [tex]g(x) = -4x^2[/tex]The vertex is: (0,0).

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Stretching a function [tex]f(x)[/tex] vertically by a factor of b is given by: [tex]g(x) = bf(x)[/tex]Reflecting a function over the x-axis is the equivalent of: [tex]g(x) = -f(x)[/tex]

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The original function is: [tex]f(x) = x^2[/tex].Stretching by a factor of 4 means that the function is multiplied by 4, thus: [tex]g(x) = 4x^2[/tex]Reflecting over the x-axis, that is, multiplying by -1, we have that: [tex]g(x) = -4x^2[/tex], which is the rule for g.From the graph added at the end of this answer, the vertex is at (0,0).

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The Graph Of G Is A Vertical Stretch By A Factor Of 4 And A Reflection In The X-axis, Followed By A Translation

Related Questions

You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Answers

Answer:

2x + 4y = 110

Step-by-step explanation:

Let

The quantity of small tables = x

The quantity of large tables = y

The smaller tables can fit 2 people, the larger tables can seat 4 people.

Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Number of people×quantity (small table) + number of people×quantity (large table) = 110

2x + 4y = 110

For the function, f(x) = x - 2, find x if f(x) = -1.

Answers

f(x)=x-2=-1
-1=x-2
+2 +2
-1=x

What is x? please help

Answers

Answer:  x = 44

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

Work Shown:

The three interior angles of any triangle always add to 180

82+54+x = 180

136+x = 180

x = 180-136

x = 44

---------------

Extra info:

If you need the value of y, then,

x+y = 180

y = 180-x

y = 180-44

y = 136

Or you could use the remote interior angle theorem to find y

y = 82+54

y = 136

The value of z is equal to y since these two angles are vertical angles.

Write in simplest form. 1/6 divided by 6 divided by 6

Answers

Answer:

1/216

Step-by-step explanation:

I am pretty sure this is correct

you have to make the whole number 6 into a fraction 6/1

now it is 1/6 divided by 6/1 but you need to do KCF keep change flip

so now it is 1/6 times 1/6 and you get 1/36

then turn 6 into a fraction again

then KCF

Now it is 1/36 times 1/6 and you get 1/216

We have that for the Question "Write in simplest form. 1/6 divided by 6 divided by 6" it can be said that

The simplest form of the statement is

[tex]x=\frac{1}{216}[/tex]

From the question we are told

Write in simplest form. 1/6 divided by 6 divided by 6

Generally the equation for the statement  is mathematically given as

[tex]x=\frac{\frac{\frac{1}{6}}{6}}{6} \\\\ Therefore \\\\ x=\frac{\frac{1}{36}}{6}\\\\[/tex]

[tex]x=\frac{1}{216}[/tex]

Therefore

The simplest form of the statement is

[tex]x=\frac{1}{216}[/tex]

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fill in the space to complete to equality:

3v-v²=v(__)

Answers

Answer:

3v-v² = v(3-v)

Step-by-step explanation:

Use distributive property on the right side of the equality.

What is the unit rate for the number of hours charged?

Answers

Answer:

4.09

Step-by-step explanation:

just divide the given price by the hours

What is the slope? Please answer with a pic and some work

Answers

Answer:

m = rise over run

Rise: y/2 - y/1

Run: x/2 - x/1

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

Step-by-step explanation:

Answer:

slope= (y2-y1)/(x2-x1)

1) (2-1)/(3-2)

=m=1

3) (5-4)/(2-2)

= UNDEFINED (vertical line)

5) (-6-6)/(3-(-3)

(-12/6)

= -2

CHECK

y=mx+b

6=-2(-3)+b

6=6+b

b=0

y=-2x connects both of these points on a graph

3.2% is equivalent to what fraction in reduced terms?

Answers

Answer:

3 1/5

Step-by-step explanation:

I think the fraction will be 16/5

If Kiran solves the equation for p, which equation would result?

Answers

Answer:  i have a answer but it is not up there srry

Step-by-step explanation:  

PLEASE HELP!! i will mark brainliest!!

Answers

Its the distance formula so it would be square root of [(15+3)^2+(-7-17)^2]=30

Tyler bought a jacket regularly priced $35.00.
With a 30% markdown and a sales tax of 6%, approximately what is the cost of Tyler's jacket?

Answers

Answer:

$25.97

Step-by-step explanation:

You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.

to get the price after markdown multiply $35.00 by 7/10 which equals $24.5

Multiply $24.5 by .06 to get the sales tax which is $1.47

So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97

The cost of Tyler's jacket is $23.03.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Tyler bought a jacket regularly priced $35.00.

With a 30% markdown, the cost of jacket is

30% of 35

= 30/100 ×35

= 0.3×35

= 10.5

So, the cost of jacket is 35-10.5=$24.5

Now, sales tax on $24.5

That is, 6% of $24.5

= 6/100 ×24.5

= 0.06×24.5

= 1.47

Cost of jacket is 24.5-1.47

= $23.03

Therefore, the cost of Tyler's jacket is $23.03.

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What is the answer to this????

Answers

Answer:8

Step-by-step explanation:

Answer:

8 rows of art

Step-by-step explanation:

You buy a 36-ounce can of tomatoes. How many pints is that?

Answers

Answer:

If you buy a 36-ounce can of tomatoes the number of pints will be 2.24

Step-by-step explanation:

1 Fluid Ounces = 0.062 Pints

A square has a side length of 6x+2. a rectangle with width 3x+1 has the same area as the square. what is the length of the rectangle?

Answers

Answer:

2

Step-by-step explanation:

(6x+2)/(3x+1) = 2

what is the slope of (19,14) & (21,19)

Answers

Step-by-step explanation:

Hey there!

Given; The points are; (19,14) and (21,19).

Note: Use slope formula.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{19 - 14}{21 - 19} [/tex]

Simplify it.

[tex]m = \frac{5}{2} [/tex]

Therefore, slope(m)= 5/2.

Hope it helps...

Answer:

slope = 5/2

Step-by-step explanation:

[tex]m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }[/tex]

[tex]\frac{19-(14)}{21-(19)}[/tex]

m=[tex]\frac{5}{2}[/tex]

Kyle has 22 more cards than 3 times the number of cards that Stan owns. Together, they own less than 58 cards. How many cards are in stand collection?
A- Stan owns 9 cards or less
B- Stan owns 9 cards or more
C- Stan owns less than 9 cards
D- Stan owns more than 9 cards

Answers

Answer:

i think the answer is c

Step-by-step explanation:

22x3=66 66-58=8

In stand collection, Stan owns less than 9 cards.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Let x represnets the number of Kyle's cards and y be the number of Stan's cards.

We know that Kyle has 22 more cards than 3 times the number of cards that Stan owns, so:

k = 3s + 22 equation (1)

We also knows that together, they own less than 58 cards, so:

k + s < 58 equation (2)

Replace (1) in (2) and solve for :

s + 3s + 22 <58

s <58

Hence, Stan owns less than 9 cards.

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[tex]( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = [/tex]
I need help please​

Answers

[tex](-\frac{3}{5})(-\frac{10}{3})(-\frac{2}{9}) = (\frac{30}{15})(-\frac{2}{9}) = 2(-\frac{2}{9}) = -\frac{4}{9}[/tex]

Identify a line that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original.

Answers

Answer:

The correct option is;

y = 6

Step-by-step explanation:

The reflection of the figure of a preimage over a line of symmetry will form an image that the same coordinates as the preimage.

The line of symmetry is a line or axis that goes through the geometric figure's center and outlines the division of the the figure into two identical, symmetrical parts

The appearance of the figure on one side of the line of symmetry is a reflection of the image on the other side of the line of symmetry

In the figure included in the question, given that the shape of the figure is a rectangle the line of symmetry will be a line passing through the midpoint of a chosen side and parallel to the side adjacent to the chosen side

Therefore, the lines of symmetry are x = 4.5 and y = 6. Therefore, the most correct of the given options is y = 6.

   Option A will represent the line of reflection.

 A rectangle has two pairs of vertices. If one pair reflects over a line in such a way that it replaces the other pair, line is said to be the line of reflection.

If the pair of points A,B replaces the other pair C,D, line of reflection will be y = 6.

Similarly, the pair of vertices A,C replaces other pair B,D, line of reflection will be x = 4.5.

   Therefore, line given in Option A will represent the line of reflection.

Learn more,

https://brainly.com/question/10612394

try ur best
FRIEND ME :p

Answers

Answer:

6

Step-by-step explanation:

If Kevin has 4 more points

than Carl, and then Tom has

2 fewer points than Carl, then Kevin

had 6 more points than all of Tom's points.

Hope this helps! <3

Triangle QRS has vertices at Q(3,6), R(2, 3), and S(3,-2). If the triangle is dilated by a scale factor of į, what will be the coordinates of
R'?

Answers

Answer:

C

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of the point by the scale factor, that is

R(- 2, 3 ) → R'([tex]\frac{1}{3}[/tex](- 2), [tex]\frac{1}{3}[/tex](3) ) → R'( - [tex]\frac{2}{3}[/tex], 1 ) → C

The circumference of a circle can be found by multiplying Pi by the diameter True False

Answers

Answer:

True

Step-by-step explanation:

You can find the circumference by multiplying Pi and the diameter.

Answer:

True. And if you only know the radius, multiply the radius by two to get the diameter.

The measure of angle JKL can be represented using the expression 3x + 5.

Answers

Answer:

The measure of ∠JKL is 65°

Step-by-step explanation:

Consider the provided diagram.

We need to find the degree measure of ∠JKL.

It is given that ∠JKM=45° and ∠MKL=x°

Also it is given that the measure of angle JKL can be represented using the expression 3x + 5.

Thus ∠JKL=3x+5

From the figure it can be concluded that ∠JKL is equal to the sum of ∠JKM and ∠MKL

This can be written as:

∠JKL = ∠JKM+∠MKL

Substitute the respective values in the above equation.

3x+5 = 45+x

Subtract x and 5 from both the sides.

3x+5-x-5 = 45+x-x-5

2x = 40

x = 20

Thus, the measure of ∠MKL=20°

Substitute the value of x in ∠JKL = 3x+5.

∠JKL = 3(20)+5

∠JKL = 60+5

∠JKL = 65

Hence, the measure of ∠JKL is 65°

54 equals 9 more than a number $t$ .

Answers

Answer:54 = t + 9

Step-by-step explanation:

The expression is 54= t+9

Homework help quadratics

Answers

Answer:

no cap just plug in each one into a quadratic formula and if thats to difficuly just look up symbolab and plug it in

Identify the axis of symmetry of the parabola.

Answers

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Answer:

AOS: x = -1

Vertex: (-1, -2)

Step-by-step explanation:

Indentify the turning point of the graph with is x = -1.

Find the missing numbers:
X² + 9x + 14 = (x + 2)(x + ?)

Answers

the answer is seven...

write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.

Answers

у вас всё правильно вы молодцы

What is the difference in solution in an equation and in an inequality?

Answers

Answer:

The variable in an equation is fully equal to the solution. In an inequality, the variable is a number, but it can also be less than or greater than a number. Some solutions in an inequality even have the variable less than or equal to or greater than or equal to.

Hope you understood a little bit...have an amazing day C:

log4 x + log4 (x – 3) = 1 Solve the equation.

Answers

Answer:

x is EQUIVALENT to 2.89

Step-by-step explanation:

Helppp!!!!! Plz!! Thank you!!!!!!!

Answers

Answer:

third option

Step-by-step explanation:

set all the x's equal to zero

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