Cubic + Cube Root Functions

Name the parent function.

• cube root
• quadratic
• cubic
• square root

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Name the parent function.

• linear
• quadratic
• cubic
• logarithmic

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the Transformations. 

• Down 2
• Up 2
• Reflection and stretch by 2
• Reflection and down 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Identify the parameter changes on the parent functions. 

• 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

f(x) = ⅔(x - 7)² 

• Vertical compression of ⅔
  Right 7
• Horizontal compression of ⅔
  Left 7
• Vertical stretch of ⅔
  Right 7
• Horizontal stretch of ⅔
  Left 7

Tags

CCSS.HSF.BF.B.3

Describe the transformations of the graph shown. 

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left. 
• Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left. 
• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right. 
• none of the above.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

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 = (-2x - 4)³

• Down 2 and Left 4 
• Reflect y-axis, Left -2, Horizontal compress by 1/2
• Reflect y-axis, Right 4, Horizontal compress by 1/2
• Reflect x-axis, Left -2, Horizontal compress by 1/2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Tags

CCSS.HSF.BF.B.4