Transformation of Functions 1 - Practice

Describe a transformation that gives the graph representing g from the graph representing f. Select the best answer.

• Reflection

• Reflection over the y-axis

• Reflection over the x-axis

• Translation

Describe a way to transform each graph so that it better matches the data.

• Reflection over the y-axis, then right 2, up 5.

• Translation right 2, up 5.

• Translation 2 horizontally, 5 vertically.

• Reflection over the x-axis then right 2, up 5.

Describe the transformation that occurred or that this function represents.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

Describe the transformation that occurred.
w(x)  $\rightarrow$   f(x - 7)

• Down 7

• Up 7

• Right 7

• vertical compression

Describe the transformation that occurred
m(x)  $\rightarrow$   f(x + 1)

• Left 1 Unit

• Right 1 unit

• vertical stretch

• up 1 unit

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4
• Right 4
• Up 4
• Down 4

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2

Tags

CCSS.HSF-IF.C.7D

Which of the equations below describes the graph?

• f(x) = I x + 2 I

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I

Tags

CCSS.HSF-IF.C.7D

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

• reflected over x axis, stretch by 2, right 3, up 3

• reflected over x axis, stretch by 2, left 3, up 3.

• reflected over x axis, shrink by 2, right 3, up 3

• reflected over the x axis, shrink by 2, left 3, up 3

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

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right