Polynomial functions

Select ALL transformations that y = (x+8)⁵ -8

• move down

• move right

• move left

• move up

• wider

Describe the transformation f(x)= x² + 9, what happens to the parabola?

• right 9

• left 9

• up 9

• down 9

What are the following transformations:

g(x) = (x-5)³ - 4

• Shifted right 5 and down 4

• Shifted left 5 and down 4

• Shifted left 5 and up 4

• Shifted right 5 and up 4

• Reflection over over the y-axis, shift right by 3

• Reflection over over the x-axis, shift up by 3

• Reflection over over the x-axis, shift left by 3

• Reflection over over the y-axis, shift down by 3

• Shift up by 7

• Horizontal stretch by 3

• Shift right by 1

• Vertical compression by 1/2

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = -4x³ + 5x - 2

• Degree 2 (quadratic)
• Degree 3 (cubic)
• Degree 4 (quartic)
• Degree 5 (quintic)

The leading coefficient is the coefficient of the largest degree monomial for the polynomial.
What is the leading coefficient for the polynomial f(x) = 2x³ + 4x - 5

• The leading coefficient is 2
• The leading coefficient is 3
• The leading coefficient is 4
• The leading coefficient is 5

What is the End behavior on the left side

• x →-∞, y→∞
• x →∞, y→-∞
• x →-∞, y→-∞
• x →∞, y→∞

What is the End behavior on the right side

• x →-∞, y→∞
• x →-∞, y→-∞
• x →∞, y→∞
• x →∞, y→-∞

What is the end behavior of the function

• as x →⁻∞,y→⁻∞, as x →∞, y→⁻∞

• as x→⁻∞, y→∞, as x →∞, y→∞

• as x→⁻∞, y→0, as x →∞, y→∞

• as x→⁻∞, y→⁻∞, as x →∞,y→∞