Answer:
the desired equation is y = -8x^2 + 3
Step-by-step explanation:
The vertex form of the equation of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex and (x, y) is another point on the graph of the parabola.
Substitute 1 for x, -5 for y, 0 for h and 3 for k. We obtain:
-5 = a(1 - 0)^2 + 3, or
-5 = a(1) + 3, or -5 = a + 3. Then a must be -5 -3, or a = -8
and the desired equation is y = -8x^2 + 3
