Question

find the y-coordinate of the y-intercept of the polynomial function defined below. f(x) = -2(5x + 1)^2

Explanation:

Step1: Substitute $x=0$ for y-intercept

$f(0) = -2(5(0) + 1)^2$

Step2: Simplify inside parentheses first

$5(0)+1 = 0+1 = 1$

Step3: Square the result

$1^2 = 1$

Step4: Multiply by the coefficient

$-2 \times 1 = -2$

Answer:

-2