Transformations of Cubic functions

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 

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

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

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

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

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

• (-4,3)

• (4,3)

• (-4,-3)

• (4,-3)

Which equation matches the following transformation: up 4, stretched 3, reflected down, and left 1

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k