Quiz about Quadratic Transformations Review

Question 1

Which transformation transforms the graph of

f(x) = x² to the graph of

g(x) = (x + 4)²?

Accepted Answer

a horizontal shift 4 units to the left

Answer

a vertical shift 4 units up

Answer

a vertical shift 4 units down

Answer

a horizontal shift 4 units to the right

Question 2

How did we transform from f(x) =x²

to

g(x) = -3x²

Accepted Answer

reflection over x-axis and vertical stretch

Answer

reflection over x-axis and vertical shift down

Answer

horizontal stretch

Answer

reflection over x-axis and vertical compression

Question 3

How did we transform from the parent function?

g(x) = -1/5(x - 1)² + 7

Accepted Answer

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

Answer

vertical compression, horizontal shift left, vertical shift up

Answer

reflection, horizontal shift right, vertical shift down

Answer

no changes were made to y = x²

Question 4

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

Accepted Answer

Vertical stretch by 5

Answer

Horizontal compress by 5

Answer

Reflect

Answer

Move up 5

Question 5

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

Accepted Answer

down 5

Answer

left 5

Answer

right 5

Answer

up 5

Question 6

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

Accepted Answer

widen

Answer

neither

Answer

narrow

Question 7

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

Accepted Answer

right 5

Answer

up 5

Answer

down 5

Answer

left 5

Question 8

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

Accepted Answer

up 12

Answer

down 12

Answer

left 12

Answer

right 12

Question 9

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

Accepted Answer

down

Answer

up

Question 10

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 11

What is the axis of symmetry in a function?

Accepted Answer

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

Answer

The transformation of the graph

Answer

The vertex, represented by (h,k)

Answer

y = h

Question 12

What is the axis of symmetry in the function f(x) = (x-1)² +2

Accepted Answer

x = 1

Answer

x = -1

Answer

x = 2

Answer

x = -2

Question 13

Identify the vertex of f(x) = -2(x+1)² + 3

Accepted Answer

(-1,3)

Answer

(-2,3)

Answer

(3, 1)

Answer

(-1,-3)

Question 14

Does the function y = (x+2)² have a maximum or minimum?

Accepted Answer

Minimum

Answer

Maximum

Answer

Both

Answer

Neither

Question 15

What steps transform the graph y = x² to y = 2(x+2)² - 5?

Accepted Answer

Stretch by 2, shifted 2 units left and 5 down

Answer

Compress by 2, shifted 2 units left and 5 down

Answer

Stretch by 5, shifted 5 units left and 2 down

Answer

Compress by 5, shifted 2 units left and 2 down

Question 16

What steps transform the graph y = x² to y = x² + 8

Accepted Answer

shifted up 8 units

Answer

shifted down 8 units

Answer

shifted left 8 units

Answer

shifted right 8 units

Question 17

What steps transform the graph y = x² to y = (x-4)²

Accepted Answer

Shifted right 4 units

Answer

Shifted down 4 units

Answer

Shifted left 4 units

Answer

Shifted up 4 units

Question 18

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 19

How does the function g(x) = -x² compare the the parent function f(x)?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 20

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 21

Which of the following shows a vertical compression of the parent function?

Accepted Answer

y = 3/5x2

Answer

y = 2x2

Answer

y = -4x2

Answer

y = -x2

Question 22

Which of the following shows a vertical stretch of the parent function?

Accepted Answer

y = -5x2

Answer

y = -x2

Answer

y = 2/5x2

Answer

y = -3/4x²

Question 23

Does the graph of this equation open up or down?
y = 3/4 (x - 5)² + 12

Accepted Answer

up

Answer

down

Question 24

Which is the equations for the quadratic parent function?

Accepted Answer

f(x) = x2

Answer

f(x) = x

Answer

f(x) = -x²

Answer

f(x) = mx + b

Question 25

What does the c-value in the standard form represent?

Accepted Answer

y - intercept

Answer

y of the vertex

Answer

x - intercept

Answer

axis of symmetry

Question 26

Which one is NOT another name for the x-intercepts of a quadratic equation?

Accepted Answer

Squares

Answer

Solutions

Answer

Roots

Answer

Zeros

Question 27

How do the graphs of y = x²+5 and y = x² differ ?

Accepted Answer

The graph of y= x²+ 5 is the graph of y=x² translated 5 units up

Answer

The graph of y =x² + 5 is narrower than the graph of y= x²

Answer

The graph of y= x² + 5 is wider than the graph of y= x²

Answer

The graph of y=x²+ 5 is the graph of y=x² translated 5 units down

Question 28

How many zeros does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 29

The graph of a quadratic function is called a

Accepted Answer

parabola

Answer

quadratic graph

Answer

half oval

Answer

vertex form

Quadratic Transformations Review

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