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determine the y - intercept of the following equation. (-x + 3)(-x + 4)…

Question

determine the y - intercept of the following equation. (-x + 3)(-x + 4)=y
answer
(0,12) (12,0)
(3,0) and (4,0) (0,-12)
(0,3) and (0,4) (-3,0) and (4,0)

Explanation:

Step1: Recall y - intercept concept

The y - intercept occurs when $x = 0$.

Step2: Substitute $x = 0$ into equation

Substitute $x=0$ into $y=(-x + 3)(-x + 4)$. Then $y=(-0 + 3)(-0 + 4)=(3)\times(4)=12$.
So the y - intercept is the point $(0,12)$.

Answer:

A. $(0,12)$