Question

determine the y-intercept of the following equation.
(x + 2)(x + 1) = y
answer
(0, -2) (2, 0) and (-1, 0)
(0, 2) (0, -2) and (0, -1)
(2, 0) (-2, 0) and (-1, 0)

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \(y = f(x)\) is the point where \(x = 0\). So we substitute \(x=0\) into the equation \(y=(x + 2)(x + 1)\).

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

When \(x = 0\), we have \(y=(0 + 2)(0+ 1)\).

Step3: Calculate the value of \(y\)

First, simplify the expressions inside the parentheses: \(0 + 2=2\) and \(0 + 1 = 1\). Then multiply them: \(y=2\times1 = 2\). So the y - intercept is the point \((0,2)\) since when \(x = 0\), \(y=2\).

Answer:

(0, 2)