Question

Using the vertex point(-2.5, -6.25), write the equation of this function in vertex form.

Answer 1

Form of the parabola:

Standard form:

y = ax² + bx + c

Vertex form:

y = a(x-h)² + k

The vertex is a point, V(h,k), on the parabola. Where:

h = -b/(2a) ; k = (4ac-b²)/4a

If the vertex point is :

V(h,k) = (-2.5, -6.25)

the equation of this function in vertex form is:

y = a(x - (-2.5))² + (-6.25)

y = a(x + 2.5)² - 6.25