Ray needs creating the second part of the coaster. create a unique parabola in the pattern f(x) = ax2 + bx + c. describe the direction of the parabola and determine the y-intercept and zeros.

Zeros:  x = -2 + or x = -2-

y-intercept = 2

Step-by-step explanation:

Create a unique parabola in the pattern f(x) = ax2 + bx + c.

So let :

a= 1

b= 4

c = 2

So our  pattern f(x) is:

The y-intercept happens when x = 0 , so our y-intercept is: 2

Zeros happens when f(x) = 0

<=>  = 0

The quadratic formula is:

<=>

<=> x = -2 + or x = -2-

Hope it will find you well

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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