Write an equation of the parabola in intercept form that passes through

(-18, 72) with x-intercepts of - 16 and - 2.

An equation of the parabola is y=

y=9/4 (x+16) (x+2)

Step-by-step explanation:

y=a (x-r) (x-s)

-16 & - 2

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

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

Now we need to find a by plugging (-18, 72) into the equation.

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

72=a (-2) (-16)

72=a (32)

a=72/32

a=9/4

Finally, we get y=9/4 (x+16) (x+2).