What is the axis of symmetry in a function?

A vertical line that passes through the vertex and divides the parabola in half

The transformation of the graph

The vertex, represented by (h,k)

What steps transform the graph y = x 2 to y = 2(x+2) 2 - 5?

Stretch by 2, shifted 2 units left and 5 down

Compress by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

Compress by 5, shifted 2 units left and 2 down

If the function f(x) = x 2 is changed so that a new function is created, g(x) = 5x 2 , how does g(x) compare to f(x)?

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

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

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

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

How does the function g(x) = -x 2 compare the the parent function f(x)?

The new function g(x) is reflected vertically across the x-axis

The new function g(x) is reflected horizontally across the y-axis

The new function g(x) has all the x-values multiplied by a -1

The new function g(x) has been shifted 1 unit down

Which of the following statements about the function j(x) = -2(x + 3) 2 + 9 is FALSE?

The function j(x) is shifted right 3 units compared to the parent function

The function j(x) is shifted up 9 units compared to the parent function

The function j(x) is narrower than the parent function

The function j(x) is reflected across the x-axis compared to the parent function

How do the graphs of y = x 2 +5 and y = x 2 differ ?

The graph of y= x 2 + 5 is the graph of y=x 2 translated 5 units up

The graph of y =x 2 + 5 is narrower than the graph of y= x 2

The graph of y= x 2 + 5 is wider than the graph of y= x 2

The graph of y=x 2 + 5 is the graph of y=x 2 translated 5 units down

Quadratic Transformations Review Quiz

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

a vertical shift 4 units up

a vertical shift 4 units down

a horizontal shift 4 units to the left

a horizontal shift 4 units to the right

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How did we transform from f(x) =x²
to
g(x) = -3x²

reflection over x-axis and vertical shift down

reflection over x-axis and vertical stretch

horizontal stretch

reflection over x-axis and vertical compression

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

reflection, vertical compression, horizontal shift right, vertical shift up

vertical compression, horizontal shift left, vertical shift up

reflection, horizontal shift right, vertical shift down

no changes were made to y = x²

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

In the equation f(x)=5(x+3)²-10 what does the 5 do?

Vertical stretch by 5

Horizontal compress by 5

Reflect

Move up 5

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

left 5

right 5

up 5

down 5

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Does the graph of this equation widen or narrow from the parent function?
g(x) = 3/4 (x - 5)² + 12

widen

neither

narrow

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the horizontal shift of this equation?
f(x) = 3/4 (x - 5)² + 12

up 5

down 5

left 5

right 5

Tags

CCSS.HSF.BF.B.3

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Quadratic Transformations Review

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

How did we transform from f(x) =x²
to
g(x) = -3x²

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

In the equation f(x)=5(x+3)²-10 what does the 5 do?

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

Does the graph of this equation widen or narrow from the parent function?
g(x) = 3/4 (x - 5)² + 12

What is the horizontal shift of this equation?
f(x) = 3/4 (x - 5)² + 12

What is the vertical shift of this equation?
g(x) = 3/4 (x - 5)² + 12

Does the graph of this equation open up or down?
f(x) = -(x + 3)² - 5

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Quadratic Transformations Review

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

How did we transform from f(x) =x2 tog(x) = -3x2

How did we transform from the parent function?g(x) = -1/5(x - 1)2 + 7

In the equation f(x)=5(x+3)2-10 what does the 5 do?

What is the vertical shift of this equation?f(x) = -(x + 3)2 - 5

Does the graph of this equation widen or narrow from the parent function?g(x) = 3/4 (x - 5)2 + 12

What is the horizontal shift of this equation?f(x) = 3/4 (x - 5)2 + 12

What is the vertical shift of this equation?g(x) = 3/4 (x - 5)2 + 12

Does the graph of this equation open up or down? f(x) = -(x + 3)2 - 5

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

How did we transform from f(x) =x²
to
g(x) = -3x²

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

In the equation f(x)=5(x+3)²-10 what does the 5 do?

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

Does the graph of this equation widen or narrow from the parent function?
g(x) = 3/4 (x - 5)² + 12

What is the horizontal shift of this equation?
f(x) = 3/4 (x - 5)² + 12

What is the vertical shift of this equation?
g(x) = 3/4 (x - 5)² + 12

Does the graph of this equation open up or down?
f(x) = -(x + 3)² - 5

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