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

Shift 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

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

The graph of g is a vertical translation 2 units up of the graph of f

The graph of f is a horizontal translation two units left of g

The graph of g is a vertical stretch by a factor of 2 of the graph of f

The graph of g is a reflection of the graph of f

Which transformation will occur if f(x) = x is replaced with 1 4 f ( x ) \frac{1}{4}f\left(x\right) 4 1 f ( x ) ?

Vertical compression by a factor of 1/4

Vertical stretch by a factor of 4

Vertical translation up by 1/4 units.

Horizontal compression by a factor of 1/4

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Graph g is steeper by a factor of 7

Graph g is less steep by a factor of 1/3

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Graph g reflected and shifted down 2 units.

Graph g reflected and shifted up 2 units

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

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

a reflection across the line x = -4

a reflection across the line y = -4

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

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.

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

Vertical translation up by 2 units.

Nothing happens, it stays the same.

Vertical stretch by a factor of 2.

What does the transformation f ( x ) → f ( x + 1 ) − 9 f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9 f ( x ) → f ( x + 1 ) − 9 do to the graph of f ( x ) f\left(x\right) f ( x ) ?

translates it left one unit and down 9 units

translates it right one unit and down 9 units

translates it up one unit and right 9 units

translates it down one unit and left 9 units

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

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

becoming wider or vertically compressed

becoming narrower or vertically stretched

Given f(x) = ax² , if a > 1 , the graph will transform by

becoming narrower or vertically stretched

becoming wider or vertically compressed

In the vertex form f(x) = a(x - h)² + k , what does the 'h' value do?

Shifts the function left or right

Vertical stretch or compression

How did we transform from y=x 2? y = -3x 2

vertical reflection and vertical stretch

vertical reflection and vertical shift down

vertical reflection and vertical compression

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

Horizontal shift left 6, vertical shift down 2

Horizontal shift left 6, vertical shift up 2

Horizontal shift right 6, vertical shift down 2

Horizontal shift right 6, vertical shift up 2

Transformations

Authored by Rebecka Hendricks

Mathematics

10th Grade

CCSS covered

Used 12+ times

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50 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

f(x) = 2x

Vertical stretch

Vertical compression

Vertical translation up

Reflection over the x-axis

No Transformation

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

f(x) = x² - 6

Vertical translation up

Vertical translation down

Horizontal translation left

Horizontal translation right

Reflection over the x-axis

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What will be the vertex of
f(x) = 4 (x-3)² + 1 ?

(3,1)

(1,3)

(-3,1)

(3, -1)

None of these.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

g(x) = (x - 4)² - 2

g(x) = (x + 4)² - 2

g(x) = (x - 4)² + 2

g(x) = (x + 4)² + 2

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Let the graph of g be a vertical stretch by a factor of 5 of the graph of f(x) = x². Write a rule for g.

g(x) = 5x²

g(x) = -5x²

g(x) = x² + 5

g(x) = (x + 5)²

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Let the graph of g be a translation 7 units right and a reflection in the x-axis of the graph of f(x) = x². Write a rule for g.

g(x) = -(x - 7)²

g(x) = (x - 7)²

g(x) = -(x + 7)²

g(x) = (x + 7)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.BF.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = (x + 3)²- 8. Write a rule for g.

g(x) = (x - 4)²+ 4

g(x) = (x + 10)²+ 4

g(x) = (x - 4)²- 20

g(x) = (x + 10)²- 20

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.8

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Transformations

f(x) = 2x

f(x) = x² - 6

What will be the vertex of
f(x) = 4 (x-3)² + 1 ?

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

Let the graph of g be a vertical stretch by a factor of 5 of the graph of f(x) = x². Write a rule for g.

Let the graph of g be a translation 7 units right and a reflection in the x-axis of the graph of f(x) = x². Write a rule for g.

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = (x + 3)²- 8. Write a rule for g.

Let the graph of g be a reflection in the x-axis of the graph of f(x) = x²- 7. Write a rule for g.

Let the graph of g be a vertical stretch by a factor of 3 and a reflection in the x-axis of the graph of f(x) = x²+ 2. Write a rule for g.

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Transformations

﻿f(x) = 2x

f(x) = x2 - 6

What will be the vertex of f(x) = 4 (x-3)2 + 1 ?

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x2. Write a rule for g.

Let the graph of g be a vertical stretch by a factor of 5 of the graph of f(x) = x2. Write a rule for g.

Let the graph of g be a translation 7 units right and a reflection in the x-axis of the graph of f(x) = x2. Write a rule for g.

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = (x + 3)2 - 8. Write a rule for g.

Let the graph of g be a reflection in the x-axis of the graph of f(x) = x2 - 7. Write a rule for g.

Let the graph of g be a vertical stretch by a factor of 3 and a reflection in the x-axis of the graph of f(x) = x2 + 2. Write a rule for g.

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

f(x) = 2x

f(x) = x² - 6

What will be the vertex of
f(x) = 4 (x-3)² + 1 ?

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

Let the graph of g be a vertical stretch by a factor of 5 of the graph of f(x) = x². Write a rule for g.

Let the graph of g be a translation 7 units right and a reflection in the x-axis of the graph of f(x) = x². Write a rule for g.

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = (x + 3)²- 8. Write a rule for g.

Let the graph of g be a reflection in the x-axis of the graph of f(x) = x²- 7. Write a rule for g.

Let the graph of g be a vertical stretch by a factor of 3 and a reflection in the x-axis of the graph of f(x) = x²+ 2. Write a rule for g.

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