MATH SOLVE

3 months ago

Q:
# Write an equation of a parabola in vertex form. Vertex (2,-3) and passes through (0,5)β

Accepted Solution

A:

Answer:Step-by-step explanation:The vertex form of a parabola is given by Β y = a(x - h)^2 + k, where (h, k) is the vertex.Given vertex at (2,-3), h = 2, k = -3y = a(x - 2)^2 + (-3) = a(x - 2)^2 - 3The parabola passes through (0,5) so5 = a(0 - 2)^2 - 35 = 4a - 34a = 8a = 2The parabola equation in vertex form:y = 2(x - 2)^2 - 3