Question

what is the y - intercept for g(x)=3x^{2}+2x - 5? (0,2) (0,3) (0,5) (0,-5)

Explanation:

Step1: Recall y - intercept concept

The y - intercept of a function \(y = g(x)\) is found by setting \(x = 0\).

Step2: Substitute \(x = 0\) into the function

Given \(g(x)=3x^{2}+2x - 5\), when \(x = 0\), we have \(g(0)=3\times0^{2}+2\times0 - 5=- 5\). The y - intercept is the point \((0,g(0))=(0, - 5)\).

Answer:

\((0,-5)\)