Question

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

Answer 1

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)