How to find the quadratic equation when given the vertex and y intercept?

Suppose you are given a quadratic equation with vertex (h, k) and y-intercept, c.

The vertex form of a quadratic equation is given by:



y-intercept is the value of y when x is 0.

Thus, given a y-intercept, c, we have:



Therefore, given a vertex (h, k) and y-intercept, c, the quadratic equation is given by

This is the graph x=1