2 years ago

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

Mathematics

1 answer:

nydimaria [60]2 years ago

3 0

Answer:

Step-by-step explanation:

The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) is the vertex.

Given vertex at (2,-3), h = 2, k = -3

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

The parabola passes through (0,5) so

5 = a(0 - 2)^2 - 3

5 = 4a - 3

4a = 8

a = 2

The parabola equation in vertex form:

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

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

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