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

Nothing happens, it stays the same.

Vertical translation up by 2 units.

How does the graph of y = x 2 - 7 compare to the parent function y = x 2

y = x 2 - 7 is shifted down 7 spaces from y = x 2

y = x 2 - 7 is wider than y = x 2

y = x 2 - 7 is narrower than y = x 2

y = x 2 - 7 is shifted up 7 spaces from y = x 2

How did we transform from f(x) =x 2 to g(x) = -3x 2

reflection x-axis and vertical stretch

reflection in x-axis and vertical shift down

reflection x-axis and vertical compression

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 = x 2

The graph of the function f(x) = ax 2 is the parent function. What must be true of a for the graph to open downward?

The number must be a negative number

The number must be a whole number

The number must be a positive number

For g(x) = (x - 10) 2 - 4, describe the transformation from the parent function.

Slide right 10 and down 4 units

For g(x) = 2(x + 3) 2 , describe the transformation from the parent function.

Vertical stretch by factor of 2, slide left 3 units

Vertical stretch by factor of 2, slide right 3 units

Slide up 2 units and left 3 units

Slide up 2 units and right 3 units

For g(x) = -x 2 +13, describe the transformation from the parent function.

Reflection in x-axis, slide up 13 units

Reflection in x-axis, slide down 13 units

For g(x) = -3(x - 6) 2 + 2, choose the transformation from the parent function that does NOT occur.

Vertical stretch by factor of 3

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 transformations

Quiz

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Medium

•

CCSS

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

+13

Standards-aligned

Clayton cromwell

Used 20+ times

FREE Resource

36 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

a reflection across the line x = -4

a reflection across the line y = -4

a translation shifting f(x) 4 units to the left

a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

2.

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

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Match the description to its equation.
- moves down 3

A

B

C

D

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Match the description to its equation.
Moves right 7

A

B

C

D

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If the blue is f(x)=x^2,the red must be

g(x)=(x+3)²

g(x)=(x-3)²

g(x)=x²+3

g(x)=x²-2

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If the blue is f(x)=x^2,then the red must be

g(x)=x²-5

g(x)=x²+5

g(x)=(x-5)²

g(x)=(x+5)²

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How do the graphs of the functions
f(x) = x² + 9 and
g(x) = x² – 11 relate to each other?

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

The graph of f(x) is 20 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).

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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quadratic transformations

36 questions

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (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.
- moves down 3

Match the description to its equation.
Moves right 7

If the blue is f(x)=x^2,the red must be

If the blue is f(x)=x^2,then the red must be

How do the graphs of the functions
f(x) = x² + 9 and
g(x) = x² – 11 relate to each other?

Describe the transformation of function f to g if
f(x)=x² and g(x)=(x - 4)²

Which transformation will occur if f(x) = x² is replaced with -f(x)?

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

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

36 questions

Which transformation maps the graph of f(x) = x2 to the graph of g(x) = (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.- moves down 3

Match the description to its equation.Moves right 7

If the blue is f(x)=x2, the red must be

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

How do the graphs of the functions f(x) = x2 + 9 and g(x) = x2 – 11 relate to each other?

Describe the transformation of function f to g if f(x)=x2 and g(x)=(x - 4)2

Which transformation will occur if f(x) = x2 is replaced with -f(x)?

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

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 maps the graph of
f(x) = x² to the graph of g(x) = (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.
- moves down 3

Match the description to its equation.
Moves right 7

If the blue is f(x)=x^2,the red must be

If the blue is f(x)=x^2,then the red must be

How do the graphs of the functions
f(x) = x² + 9 and
g(x) = x² – 11 relate to each other?

Describe the transformation of function f to g if
f(x)=x² and g(x)=(x - 4)²

Which transformation will occur if f(x) = x² is replaced with -f(x)?