Question

Write an equation of the parabola in intercept form that passes through (−18, 72) with x-intercepts of −16 and −2.

Answer 1

y = a(x + 16)(x + 2)

72 = a(-18 + 16)(-18 + 2)

72 = a(-2)(-16)

72 = a(32)

$\frac{72}{32} = a$

$\frac{9}{4} = a$

Answer: y = $\frac{9}{4}$(x + 16)(x + 2)