Given the parent function f(x)=x^2, describe the translation of the function f(x)=1/4(x-6)^2+8. a. 6 units to the left 8 units up b. 6 units to the left 8 units down c. 6 units to the right 8 units up d. 6 units to the right 8 units down what is the value of h in the function f(x)=1/2(x+5)^2-9? a. 5 b. 1/2 c. 9 d. -5 the function g(x)=3(x-3)^2+2 will be compressed by a factor of 3 true false the slope of the line passing through the points (0,10) and (0,3) is 13 true false find the slope of the line passing through the points (8,-1) and (0,3) a. 1/4 b. -2 c. 4 d. -1/2 find the slope of the line passing through the points (3,-2) and (-5,10) a. -2/3 b. -3 c. -3/2 d. -1/3

1. C

2.A

3.F

4.F

5.D

6. C

Ask if you need explanations :)

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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