Cubic Functions Transformations

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

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

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = -x³
• B.  g(x) = x³ - 1
• C.  g(x) = (x + 1)³
• D.  g(x) = (x - 1)³

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

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)³  + 6

• Right 6
• Left 6
• Up 6
• Down 6

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

Which point does not represent a zero of a polynomial?

• (-2, 0)
• (-1, 0)
• (0, 4)
• (2, 0)

Tags

CCSS.HSA.APR.B.3

Which is the factored form of the polynomial function?

• (x-2)(x-1)(x+1)(x-2)
• (x-2)(x-1)(x+1)(x+2)
• (x-2)(x-1)(x+1)(x+2)(x-4)
• (x-2)(x-1)(x+1)(x+2)(x+4)

Tags

CCSS.HSA.APR.B.3