Square Root, Cube Root and Cubic

Identify the Transformations. 

• Vertical stretch by 2 and down 4
• Horizontal compression by ½ and down 4
• Vertical stretch by 2 and up 4
• Horizontal compression by ½ and right 4

Tags

CCSS.HSF.BF.B.3

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1
• reflect over x, horizontal compression by 2, left 5, up 1
• reflect over x, vertical stretch by 2, right 5, up 1
• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Tags

CCSS.HSF-IF.C.7B

  What is the equation for the red function? 

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.11

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis
• 3 units right, 2 units up, reflected across the x-axis
• 3 units left, 2 units up, reflected across the y-axis
• 3 units left, 2 units up, reflected across the x-axis

Tags

CCSS.HSF.BF.B.3

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)
• 1/4 ∛(x - 9)
• - 1/4 ∛(x + 9)
• - 1/4 ∛(x - 9)

Tags

CCSS.HSF.BF.B.3

What is the y-intercept of the following cubic function?

• (1, 0)
• (0, 2)
• (-1, 0)
• (2, 0)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation of the graph  y = -2(x + 5)³ 

• Shrink by 2, Reflected over y-axis, Right 5
• Stretch by 2, Reflected over x-axis, Left 5
• Stretch by 2, Reflected over x-axis, Right 5
• Shrink by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

What is the Domain of ALL Cube Root Functions in interval notation?

• (−∞,∞)
• −∞<x<∞
• (−∞,0]
• All Cube Root Functions are different.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Solve for x when x= √16 

• x = 2
• x = 4
• x = 8
• x = 32

Tags

CCSS.6.EE.A.1