Question

Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point Vertex: ( 2, -1) ; point: ( 4, -3)

Answer 1

well the general equation is

(x - h)^2 = 4a(y - k)

(h, k) is the vertex...

so substitute the vertex values

then substitute the point values x = 4 and y = -3

to find the value of a...

then you can simplify the equation to whatever form you need