Write the equation in general form with a y intercept of (0,-1) and vertex (2,3)

Question

Write the equation in general form with a y intercept of (0,-1) and vertex (2,3)

Answer 1

assuming it is a parabola...

y=a(x-h)^2+k is the vertex form of a parabola

(2,3) is the vertex

y=a(x-2)^2+3

the y-intercept is (0,-1)

-1=a(0-2)^2+3

-1=a(4)+3

-1-3=4a

4a=-4

a=-1

y=-(x-2)^2+3 is the equation in vertex form

y=-x^2+4x-4+3

y=-x^2+4x-1 is the standard form