Question

determine the y-intercept of the following equation.

$(x + 1)(x + 3) = y$

answer

$(1, 0)$ and $(-3, 0)$
$(0, -3)$
$(-1, 0)$ and $(-3, 0)$
$(0, -1)$ and $(0, -3)$
$(0, 3)$
$(3, 0)$

Explanation:

Step1: Recall y-intercept definition

The y-intercept occurs where \( x = 0 \). Substitute \( x = 0 \) into the equation \( y=(x + 1)(x + 3) \).

Step2: Substitute \( x = 0 \)

\( y=(0 + 1)(0 + 3)=1\times3 = 3 \). So the y-intercept is at \( (0, 3) \).

Answer:

\( (0, 3) \)