Question

What is the equation of the following graph in vertex form?
10
(0,8)
(-4,0)
(-2, 0)
+10
(-3,-1)
- 3
Courtesy of Texas Instruments
Oy = (x - 3)2 - 1
Oy = (x + 3)2 - 1
Oy = (x - 4)2 - 2
Oy = (x - 4)2 + 8

Answer 1

Answer:

Vertex is (2,1) according to your information. In general, V(h,k). Equation must be y - k =a(x-h)2 for any quadratic function (parabola). Furthermore, you know that (0,5) is a point on the curve, so substitute for h, k, x and y to determine what coefficient "a" has to be.