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

Which transformation will occur if f(x) = x 2 is replaced with 2⋅f(x)?

Vertical stretch by a factor of 2.

Nothing happens, it stays the same.

Vertical translation up by 2 units.

Which transformation will occur if f(x) = x 2 is replaced with -f(x)?

Nothing happens, it stays the same.

Vertical stretch by a factor of 2.

Vertical translation up by 2 units.

How do the graphs of the functions f(x) = x 2 + 9 and g(x) = x 2 – 11 relate to each other?

The graph of f(x) is 20 units above the graph of g(x).

The graph of f(x) is 2 units above the graph of g(x).

The graph of f(x) is 2 units to the right the graph of g(x).

The graph of f(x) is 20 units to the right the graph of g(x).

How is the graph of y = x 2 different from the graph of y = 1/3x 2 ?

The graph of y = 1/3x 2 is wider.

The graph of y = 1/3x 2 is shifted up.

The graph of y = 1/3x 2 is shifted down.

The graph of y = 1/3x 2 is narrower.

How would the graph of the function y = x 2 + 4 be affected if the function were changed to y = x 2 + 1?

The graph would shift 3 units down.

The graph would shift 3 units up.

The graph would shift 3 units right.

Quadratic Transformations

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.B.3, HSF.IF.C.7, HSA.REI.D.10

+10

Standards-aligned

Karla Martinez

Used 154+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the vertex form of a quadratic function?

f(x) = 2a(x-h)² + k

f(x) = a(x-h)² + k

f(x) = (x+h)² + k

f(x) = a(x-h) - k

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.A.1

CCSS.HSF.IF.C.8

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

(h,k)

(3, 1)

(-1,-3)

(-1,3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

Compress by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

Stretch by 2, shifted 2 units left and 5 down

Compress by 5, shifted 2 units left and 2 down

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

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

Reflected across x-axis, 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

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

shifted up 8 units

shifted down 8 units

shifted left 8 units

shifted right 8 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

Shifted down 4 units

Shifted left 4 units

Shifted right 4 units

Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Pablo throws a ball with a path of
h = -5(t - 2)².
Maria throws a ball with a path of
h = -5(t - 2)² + 10.
Which description is reasonable for the difference in the two equations?

Maria throws the ball 10 times harder than Pablo does.

Maria starts her ball at a height 10 feet higher than Pablo does.

Pablo throws the ball 10 times harder than Maria does.

Pablo starts his ball at a height 10 feet higher than Maria does.

Tags

CCSS.HSA.SSE.A.1

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Quadratic Transformations

20 questions

What is the vertex form of a quadratic function?

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

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

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

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

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

Pablo throws a ball with a path of
h = -5(t - 2)².
Maria throws a ball with a path of
h = -5(t - 2)² + 10.
Which description is reasonable for the difference in the two equations?

Match the description to its equation.
Reflected over the x-axis
Stretched by a factor of 2

Match the description to its equation.
Moves up 2
Moves left 4

Match the description to its equation.
Moves right 7

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

20 questions

What is the vertex form of a quadratic function?

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

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

What steps transform the graph y = x2 to y = -1/2(x-4)2 + 1?

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

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

Pablo throws a ball with a path of h = -5(t - 2)2.Maria throws a ball with a path of h = -5(t - 2)2 + 10. Which description is reasonable for the difference in the two equations?

Match the description to its equation.Reflected over the x-axis Stretched by a factor of 2

Match the description to its equation.Moves up 2Moves left 4

Match the description to its equation.Moves right 7

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

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

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

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

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

Pablo throws a ball with a path of
h = -5(t - 2)².
Maria throws a ball with a path of
h = -5(t - 2)² + 10.
Which description is reasonable for the difference in the two equations?

Match the description to its equation.
Reflected over the x-axis
Stretched by a factor of 2

Match the description to its equation.
Moves up 2
Moves left 4

Match the description to its equation.
Moves right 7