Quiz about Describing Transformations of Quadratic Equations

Question 1

If the blue graph is
f(x) = x²
then the red must be...

Accepted Answer

g(x) = x²- 5

Answer

g(x) = x²+ 5

Answer

g(x) = (x - 5)²

Answer

g(x) = (x + 5)²

Question 2

Which describes the transformation of the graph of f(x) = x² to the graph of g(x) = -4x²

Accepted Answer

Reflected, narrower

Answer

reflected, wider

Answer

shifted down 4 units

Answer

shifted up 4 units

Question 3

Which transformation transforms the graph of f(x) = x² to the graph of g(x) = (x + 4)²?

Accepted Answer

shift 4 units to the left

Answer

shift 4 units up

Answer

shift 4 units down

Answer

shift 4 units to the right

Question 4

How did we transform from y=x²to

y = -3x²

Accepted Answer

reflection x-axis and narrower

Answer

reflection in x-axis and shifts down

Answer

wider

Answer

reflection x-axis and wider

Question 5

Describe the transformation from the parent graph

Accepted Answer

Reflect over x, right 3, down 4

Answer

Reflect over y, right 3, down 4

Answer

Reflect over x, right 3, up 4

Answer

Reflect over y, left 3, down 4

Question 6

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

Accepted Answer

Vertical Stretch of 5

Vertical Up 2

Answer

Vertical Stretch of 5

Vertical Down 2

Answer

Vertical Compression of 5

Vertical Up 2

Answer

Vertical Compression of 5

Vertical Down 2

Question 7

Parent function:
$$f\left(x\right)=x^2$$
Describe how the following graph is related to the parent graph: $$f\left(x\right)=4\left(x-2\right)^2$$
*more than one answer*

Accepted Answer

Graph gets narrow

Accepted Answer

Graph shifts to the right

Answer

Graph gets wider

Answer

Graph shifts to the left

Question 8

If the blue graph is
f(x) = x²the red must be...

Accepted Answer

g(x) = (x - 3)²

Answer

g(x) = (x + 3)²

Answer

g(x) = x²+ 3

Answer

g(x) = x²- 2

Question 9

Does the graph of this equation widen or narrow from the parent function?
y= 5(x - 5)² + 3

Accepted Answer

narrow

Answer

widen

Answer

neither

Question 10

If red represents y = x², which equation represents blue?

Accepted Answer

y = -x2

Answer

y = 2x2

Answer

y = -2x2

Answer

y = (x - 1)²

Question 11

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

Accepted Answer

The graph of g(x) is narrower than the graph of f(x)

Answer

The graph of g(x) is wider than the graph of f(x)

Answer

The graph of g(x) is shifted 5 units up above f(x)

Answer

The graph of g(x) is shifted 5 units down below f(x)

Question 12

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

Accepted Answer

shift right 2

Accepted Answer

shift up 4

Answer

shift left 2

Answer

shift down 4

Question 13

How does $$y=\left(x-2\right)^2$$ compare to the quadratic parent function?

Accepted Answer

shift right 2

Answer

shift up 2

Answer

shift down 2

Answer

shift left 2

Question 14

Which equation below is a quadratic function translated left 4 units?

Accepted Answer

y = (x + 4)²

Answer

y = x² + 4

Answer

y = (x - 4)²

Answer

y = 4x2

Describing Transformations of Quadratic Equations

20 questions

If the blue graph is
f(x) = x²
then the red must be...

Which describes the transformation of the graph of f(x) = x² to the graph of g(x) = -4x²

Which transformation transforms the graph of f(x) = x² to the graph of g(x) = (x + 4)²?

How did we transform from y=x²to
y = -3x²

Describe the transformation from the parent graph

The graph of a quadratic function f is shown and the vertex is labeled with its coordinates. If g(x) = f(x - 1) + 2, what is the minimum value of g?
* The minimum value of g is (a) because the minimum value of f is (b) and the graph of g is shifted (c) from the graph of f by (d) .

The graph of a transformed squaring function is shown below. Which equation and description best describes the graph? Select the equation (a) and description (b)

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

The graph of a transformed squaring function is shown below. Which equation and description best describes the graph? Select the equation (a) and description (b)

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Describing Transformations of Quadratic Equations

20 questions

If the blue graph is f(x) = x2 then the red must be...

Which describes the transformation of the graph of f(x) = x2 to the graph of g(x) = -4x2

Which transformation transforms the graph of f(x) = x2 to the graph of g(x) = (x + 4)2?

How did we transform from y=x2 toy = -3x2

Describe the transformation from the parent graph

The graph of a transformed squaring function is shown below. Which equation and description best describes the graph? Select the equation ​ (a) and description ​ (b)

Describe the transformations from the original parent function f(x) = x2.g(x) = 5x2 + 2

The graph of a transformed squaring function is shown below. Which equation and description best describes the graph? Select the equation ​ (a) and description ​ (b)

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Similar Resources on Wayground

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Discover more resources for Mathematics

If the blue graph is
f(x) = x²
then the red must be...

Which describes the transformation of the graph of f(x) = x² to the graph of g(x) = -4x²

Which transformation transforms the graph of f(x) = x² to the graph of g(x) = (x + 4)²?

How did we transform from y=x²to
y = -3x²

The graph of a transformed squaring function is shown below. Which equation and description best describes the graph? Select the equation (a) and description (b)

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

The graph of a transformed squaring function is shown below. Which equation and description best describes the graph? Select the equation (a) and description (b)