Question

what is the y-intercept of the following quadratic function? f(x) = 2x² + 3x - 5 (0, )

Explanation:

Step1: Recall y-intercept definition

The y-intercept of a function \( f(x) \) is the value of \( f(x) \) when \( x = 0 \), i.e., \( f(0) \).

Step2: Substitute \( x = 0 \) into \( f(x) \)

For \( f(x)=2x^{2}+3x - 5 \), substitute \( x = 0 \):
\( f(0)=2(0)^{2}+3(0)-5 \)
Simplify: \( 2(0)+0 - 5=-5 \).

Answer:

\( -5 \) (so the y - intercept is \( (0, - 5) \))