write the equation of the parabola in vertex form. vertex (0,6) point (1,-1)

Question

write the equation of the parabola in vertex form. vertex (0,6) point (1,-1)

Answer 1

vertex = (h,k) = (0,6)

point = (x,y) = (1,-1)

vertex form:

y = a(x - h)² + k

Plug in h = 0 and k = 6 from the vertex into the equation. Then plug in x = 1 and y = -1 from the point to solve for a:

y = a(x - h)² + k

y = a(x - 0)² + 6

-1 = a(1 - 0)² + 6

-7 = a(1)²

a = -1

y = -7x² + 6