Use the information provided to write the standard form equation of each parabola. Vertex: (-6, -7), Y-Intercept: 101

Answer 1

Then standard form for which you are looking is y = Ax² + Bx + C.

y-intercept of 101 means C = 101

Since the vertex is at (-6,-7)

2A(-6) + B = 0 => -12A + B = 0(The derivative is 0 at the vertex) and

36A - 6B + 101 = -7 => 6A - B = -18

Add the 2 equations which will eliminate B, solve for A, use either equation to compute A and you will have your solution.