Question

Find the y-coordinate

of the y-intercept of the polynomial function defined below.
f(x) = -2(x+3)(x - 2)²

Answer 1

To find the y-coordinate of the y-intercept of the polynomial function f(x) = -2(x+3)(x - 2)², we need to set x = 0 in the function and evaluate the result. This is because the y-intercept occurs when x is equal to zero.

f(0) = -2(0+3)(0 - 2)²
f(0) = -2(3)(-2)²
f(0) = -2(3)(4)
f(0) = -24

Therefore, the y-coordinate of the y-intercept of the function is -24. The y-intercept of the function is the point (0, -24).

Answer 2

Answer: -24

Explanation:

This means solve for y when x=0

Plug in 0 for x

y= -2(3)(-2)²

= -24