Transformations of Parent Functions

Identify the transformations to the step function: 

• x-axis reflection; stretch of 2; right 2; down 2
• x-axis reflection; stretch of 2; left 2; down 2
• x-axis reflection; shrink of 2; left 2; up 2
• shrink of -2; right 2; down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which equation transforms f(x) = x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

• f(-2x - 4)

• f(-1/2x) - 4

• -f(2x) - 4

• -f(1/2x) - 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5
• Vertical stretch be a factor of 5
• Vertically shrink by a factor of 1/5
•  Horizontal stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

Identify the transformation

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Horizontal stretch by a factor of 2

• Horizontal compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Identify the transformation

• Vertical shrink by a factor of 2

• Vertical compression by a factor of 1/2

• Horizontal stretch by a factor of 2

• Horizontal compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which notation indicates a reflection over the x-axis

• f(-x)
• -f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Which notation indicates a reflection over the y-axis

• f(-x)
• -f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a vertical stretch by a factor of 3?

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a horizontal shift to the right 7?

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

Which of the following represents horizontal stretches and compressions?

• f(x)+d
• f(x-c)
• f(bx)
• af(x)

Tags

CCSS.HSF.BF.B.3