Cubic Transformation

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Tags

CCSS.HSF-IF.C.7B

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

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4
• Horz shift left 2    Vert shift up 4
• Horz shift right 2      Vert shift down 4
• Horz shift left 2      Vert shift up 4

Tags

CCSS.HSF.BF.B.3

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the roots of the polynomial. 
f(x) = (x+1)(x-4)(x+2)

• 1, 4, 2
• -1, -4, -2
• 1, -4, 2
• -1, 4, -2

Tags

CCSS.HSF-IF.C.7C

Describe the transformation of the graph  y = -(x - 4)³ + 5

• Up 5 and Left 4 
• Reflect x-axis, Left 4, Up 5
• Reflect x-axis, Right 4, Up 5
• Right 4 and up 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  y = (x)³  + 6

• Right 6
• Left 6
• Up 6
• Down 6

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  y = - ½(x + 4)³ - 1

• Left 4 and Down 1
• Reflected x-axis, Down 1, Left 4, Compression by a factor of 1/2
• Reflected x-axis, Down 1, Left 4, Stretch by 1/2
• Reflected x-axis, Up 1, Right 4, Compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

Determine the roots of the polynomial. 
f(x) = (x-2)(x+3)²

• 2, 3
• 2, -3
• -2, 3
• -2, 3, 3

Tags

CCSS.HSF-IF.C.7C

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3
• 0, -1, 3
• 1, -3
• 0, -3, 1

Tags

CCSS.HSF-IF.C.7C