8 multiple choice 1 point find the y - intercept of the quadratic function: $g(x)=2(x + 3)^2+8$ (0,26) (0,0)…

8 multiple choice 1 point find the y - intercept of the quadratic function: $g(x)=2(x + 3)^2+8$ (0,26) (0,0) (0,8) (0,17)

8 multiple choice 1 point find the y - intercept of the quadratic function: $g(x)=2(x + 3)^2+8$ (0,26) (0,0) (0,8) (0,17)

Answer

Explanation:

Step1: Recall y - intercept concept

The y - intercept is found by setting (x = 0) in the function.

Step2: Substitute (x = 0) into (g(x))

[ \begin{align*} g(0)&=2(0 + 3)^{2}+8\ &=2\times9 + 8\ &=18+8\ &=26 \end{align*} ] When (x = 0), (y = 26), so the y - intercept is the point ((0,26)).

Answer:

A. ((0,26))