Question 463853
WHAT IS THE EQUATION OF THE QUADRATIC FUNCTION WITH ROOTS -8 AND -6"A"LESS THEN ZERO AND A VERTEX A (-7,2)
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Standard form of parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
For given equation:
y=A(x+7)^2+2
use point (-8,0) to solve for A
0=A(-8+7)^2+2=A(-1)^2+2=A+2
A=-2
Equation:
y=-2(x+7)^2+2
see graph below as a visual check on answer:

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{{{ graph( 300, 300, -10, 10, -10, 10, -2(x+7)^2+2) }}}