Question

find the x intercepts of the parabola with vertex 4,-1 and y intercept 0,15 write your answer in this form (x1,y1),(x2,y2) if necessary round to the nearest hundredth

Answer 1

To find the x intercept of the parabola, you have to set a parabola equation. Use standard form equation to fill-in the vertex information from your given point, (h, k).
\[y=a(x-h)^2+k\]

Plug in the given point in the graph. Once you've done that, substitute the y-intercept coordinate values into the equation and solve for a. After finding a, just plug in (h, k) and a into the standard form equation.

Also, to find the x-intercept, just set y = 0 and solve for x from the standard form equation.