Cubic Functions- Transformations and Roots and Factors

Describe the transformations of the graph y = (x - 3)³ -2

• Right 3, Down 2
• Left 3, Up 2
• Right 3, Up 2
• Left 3, Down 2 

Tags

CCSS.HSF.BF.B.3

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

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

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

• 2, -3
• 2, -3, -3
• -2, 3
• -2, 3, 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

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

• Left 4 and Down 1
• Reflected x-axis, Down 1, Left 4, Shrink by 1/2
• Reflected x-axis, Down 1, Left 4, Stretch by 1/2
• Reflected x-axis, Up 1, Right 4, Shrink by 1/2

Tags

CCSS.HSF.BF.B.3

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

• -2, -2, -2
• 2, 2, 2

Tags

CCSS.HSA.APR.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

Determine the roots of the polynomial. 
f(x) = 5x(x-1)²

• 0, 1, 1
• 5, 1, 1
• -5, 1, 1
• 0, -1, -1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

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

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.HSA.APR.B.3