What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

horizontal shift left and vertical shift down

horizontal shift down and vertical shift left

horizontal shift right and vertical shift up

horizontal shift up and vertical shift right

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)

Identify the minimum and the domain of the function y = -2(x+1) 2 + 4

Max: 4, Domain: All Real Numbers

Min: -4, Domain: All Real Numbers

Max: 2, Domain: All real numbers when x is greater than 4

Min: -2, Domain: All real numbers when x is less than 4

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

What steps transform the graph y = x 2 to y = -1/2(x-4) 2 + 1?

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Stretched by 1/2, shifted 4 units right and 1 unit down

Quadratic functions f and g are graphed. Graph g is narrower than the graph of f. Which pair of functions could have been used to create the graphs of f and g?

g(x) = (x + 5) 2 and f(x) = x 2

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)

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

Which list orders the quadratic functions from narrowest to widest?

y = 4x 2 y = 2x 2 - 2 y = x 2 y = 0.5 x 2

y = x 2 y = 4x 2 y = 2x 2 - 2 y = 0.5 x 2

y = 0.5 x 2 y = x 2 y = 2x 2 - 2 y = 4x 2

y = 2x 2 - 2 y = 4x 2 y = 0.5x 2 y = x 2

Quad Transformations

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7A

Standards-aligned

Barbara White

FREE Resource

41 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

a vertical translation 4 units up

a vertical translation 4 units down

a horizontal translation 4 units to the left

a horizontal translation 4 units to the right

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How did we transform from f(x) =x²tog(x) = -3x²

reflection in x-axis and vertical shift down

reflection x-axis and vertical stretch

horizontal stretch

reflection x-axis and vertical compression

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation.
Moves right 7

A

B

C

D

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

reflection, vertical compression, horizontal right, vertical up

vertical compression, horizontal shift left, vertical shift up

reflection, horizontal shift right, vertical shift down

no changes were made to y = x²

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation:
moves down 3

A

B

C

D

6.

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

7.

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

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Quad Transformations

41 questions

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) =x²tog(x) = -3x²

Match the description to its equation.
Moves right 7

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

Match the description to its equation:
moves down 3

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

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Quad Transformations

41 questions

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

Match the description to its equation.Moves right 7

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

Match the description to its equation:moves down 3

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

Create a free account and access millions of resources

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) =x²tog(x) = -3x²

Match the description to its equation.
Moves right 7

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

Match the description to its equation:
moves down 3

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