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myrzilka [38]
3 years ago
12

Write the formula for the parabola that has x- intercepts (3,0) and (8,0), and y- intercept (0,−2)

Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer:x^2-5x=-12(y+2)

Step-by-step explanation:

Given

Parabola has x-intercept has (3,0) and (8,0)

and Y-intercept as (0,-2)

Now the general equation of parabola is

y=ax^2+bx+c\quad \ldots(i)

Substitute  (0,-2) in (i) we get

-2=c

Now substitute (3,0) in equation (i)

0=a(3)^2+3b-2\quad \ldots(ii)

Now substitute (8,0) in equation (i)

0=a(8)^2+8b-2\quad \ldots(iii)

Solving (ii) and (iii) we get

a=\frac{-1}{12}\ \text{and}\ b=\frac{5}{12}

therefore

y=\frac{-x^2}{12}+\frac{5x}{12}-2

12y=-x^2+5x-24

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