Find the x intercept of the parabola with vertex (4,75) and y intercept (0,27)

The equation of parabola with vertex (h, k) is.

Therefore, the equation of the parabola with vertex (4,75) is. When x = 0, y = 16a + 75.

So 16a + 75 = 27 and a = - 3.

The equation of parabola is.

To solve the x-intercepts, let y = 0 and solve for x:

or

or

Answer: (9,0), (-1,0)