Julie tips the ball over the net in a volleyball game. the graph shows the quadratic function that represents the height of the ball, in feet, when it is a horizontal distance of x feet from julie. a)14 feetb)6 feetc)3 feetd)3.5

We are given a graph for the height of the ball with respect to horizontal distnace x of the ball from Julie.

From the graph, we can see the position of Julie is at (0,0). And starting height of the ball when thrown is 6 feet.

Then it moved to the maximum height of 14 feet. And hit to the ground when it has position on x-axis is 3.5 feet.

Because we can see the parabola is crossing x-axis at 3.5 on the right.

That represents distance of the ball from Julie when it hit to the ground.

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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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