Transformations of Parent Functions

Tell how the function transformed from y =|x|
y = -|x|

• Translated left 2 units
• Reflected over y-axis

• Reflected over x-axis

• Translated -1 units right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Describe the transformation from y = x³ to the new function shown.

• left 2 up 5
• right 2 up 5
• left 2 down 5
• right 2 down 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation from the parent graph y = x² to the new function shown.

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Given g(x) = (x - 3)² + 5.  What transformations took place from the original function f(x) = x²?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Vertical Compression by a factor of 2
• Vertical Stretch by a factor of 2
• Vertical translation up by 2 units.
• Reflection across the x-axis.

• 4 Units Left

  6 Units Up

• 4 Units Left

  6 Units Down

• 4 Units Right

  6 Units Up

• 4 Units Right

  6 Units Down

Tags

CCSS.HSF.BF.B.3

Describe the transformation from f(x) = x² to g(x) = 5x² + 2

• Vertical Stretch and
  Up 2

• Vertical Compression and Up 2

• Vertical Stretch and
  Down 2

• Vertical Compression and Down 2

Match the following transformations with the correct equations.

• right 3

• down 3

• left 3

• up 3

• Shift up 5 units

• Shift down 5 units

• Shift right 5 units

• Shift left 5 units

• Shift up 4 units

• Shift down 4 units

• Shift right 4 units

• Shift left 4 units

Tags

CCSS.HSF.BF.B.3