Find the vertex of the parabola. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = -4×2 – 32x – 16

Determine whether the given function is even, odd, or neither.f(x) = x5 – 4x + 2

Evaluate the function at the given value of the independent variable and simplify. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper. f(x) = 5×2 – 2x + 5; f(4x – 1)  

Evaluate the function at the given value of the independent variable and simplify. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper. f(x) = 2×2 – 2x – 7; f(2x – 1)  

Evaluate the function at the given value of the independent variable and simplify. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper. f(x) = 4×2 – 3x – 4; f(3x – 2)  

Graph the polynomial function. f(x) = x(x – 2)(x – 1)

Find and simplify the difference quotient for the given function. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = x2 – 3x – 7

Answer the question.How can the graph of f(x) = -(x – 9)2 + 11 be obtained from the graph of y = x2?

Given that the polynomial function has the given zero, find the other zeros algebraically. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.x3 + 3×2 – 6x – 8 ; -4 is a zero

Determine whether the relation is a function. Give the domain and range of the relation.{(11, -2), (-5, -1), (3, -1), (-4, 1), (4, 3)}