What is the vertex of f(x) = 9(x - 5)2 + 6 ?

Step-by-step explanation:

The vertex equation of a parabola is y - k = m(x - h)^2.  This can be rewritten as y = a(x - h)^2 + k.  Comparing this formula with the given f(x) = 9(x - 5)2 + 6, we see immediately that h = 5, k = 6 and a = 9.  The vertex is at (h, k):  (5, 6).

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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step-by-step explanation: 2