The factored form of the function is f(x) = -8(x - 2)(x + 1), the x intercept is x = 2; and x = -1/2
What is a parabola?
A parabola is a plane curve with a u shape. The equation for a parabola is in the form of a quadratic equation, that is:
y = ax² + bx + c
If a is positive, the parabola faces up whereas if a is negative, the parabola faces down.
a) From the equation:
f(x) = -16x² + 24x + 16
f(x) = -8(2x² - 3x - 2)
f(x) = -8(x - 2)(x + 1)
b) The x intercept is at f(x) = 0, hence:
0 = -8(x - 2)(2x + 1)
x - 2 = 0; and 2x + 1 = 0
x = 2; and x = -1/2
c) Since a is negative, hence the graph faces down
d) The graph of the function is plotted and attached.
Find out more on parabola at: https://brainly.com/question/4148030
