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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) = -3×2 – 12x + 14

Find the degree of the polynomial function.f(x) = 18×3 + 5×4 + 9

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)  

For the given functions f and g , find the indicated composition. 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 + 6x + 8, g(x) = 6x – 3 (g∘f)(x)

Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each zero. 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) = x4 – 81×2

For the pair of functions, find the indicated sum, difference, product, or quotient. 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 – 7, g(x) = x – 4Find (f – g)(x).

Graph the polynomial function. f(x) = x(x + 1)(x + 3)

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)}

For the pair of functions, find the indicated sum, difference, product, or quotient. 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 + 2, g(x) = x – 2Find (f – g)(x).

Answer the question.How can the graph of f(x) = -(x – 3)2 + 8 be obtained from the graph of y = x2?