Question

Write an equation of the parabola in intercept form with x-intercepts of 12 and -6; and an axis of symmetry of (14, 4).

Please show work!

Answer 1

Intercept form is: y = a(x - p)(x - q)

It is given that: p = 14, q = -6, x = 14, y = 4

4 = a(14 - 12)(14 - (-6))

4 = a(2)(20)

4 = 40a

`(4)/(40) = (40a)/(40)`

`(1)/(10) = a`

Answer: y =
`(1)/(10)`(x - 14)(x + 6)