Question

25 points Please help will mark brainleyest type the correct answer in each box use numerals instead of words if necessary use / for the fraction bars. the vertex of a parabola is (-2, -20) and its y-intercept is (0,-12) the equation of the parabola is y= ___ x^2+___x+___

Answer 1

the three boxes should be filled with

2 8 -12

respectively

Explanation:

The general equation of the parabola in this problem is

y = a(x-h)^2 + k

vertex is at (-2, -20), => k=-20, h = 2

so the equation is

y = a(x+2)^2 - 20

To have y-intercept = -12, we set x = 0

-12 = a(0+2)^2 - 20

a(2^2) = 8

a = 2

therefore the equation of the parabola is

y = 2 (x+2)^2 -20 = 2x^2 + 8x - 12

the three boxes should be filled with

2 8 -12

respectively