Question

Determine the x-intercepts of the following equation.

(x + 2)(x + 3) = y
Answer
O(-2,0) and (–3,0)
(6,0)
(-2,0) and (3,0)
(0,-6)
(0, -2) and (0, -3)
(0,6)

Answer 1

(-2,0) and (–3,0)

Explanation:

The x-intercept of an equation y = f(x) represents graphically the point(s) where the graph of the equation crosses (intercepts) the x-axis

The given equation is
y = (x + 2)(x + 3)

This is a quadratic equation which has at most two roots which are the values of x for which the equation is zero

Setting y = 0 gives us (x + 2)(x + 3) = 0
This means either x + 2 = 0 or x + 3 = 0

Setting x + 2 = 0 gives us x = -2
Setting x + 3 = 0 gives us x = -3

So the x-intercepts are (-2, 0) and (- 3, 0)