Find the x-intercepts intercept of the parabola

Parabola Vertex (1,5) y intercept (0,2)

First we fix the vertex:



The y intercept lets us solve for a





So our parabola is



The x intercepts are the zeros of the polynomial.  We've already completed the square, so let's solve directly for the zeros:











So our x intercepts are



I hate ruining a nice exact answer with an approximation so I'll leave the calculator part to you.