Correct answer only !

choose the correct formula for the function g.

(C) 2ˣ ⁻ ³  + 2

Step-by-step explanation:

Given the parent function is: f(x) = 2ˣ

The transformed graph g(x) is shifted UP 2 units (k = 2) and to the RIGHT 3 units (h = 3)

The general form of an exponential equation is: y = a(b)ˣ⁻ⁿ + k

So, g(x) = 2ˣ ⁻ ³  + 2

19

step-by-step explanation:

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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