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y = - (x - 3)( x + 1)
find x interceps and y intercept

1 Answer

5 votes

Answer:
Y-intercept is 3 or (0, 3)

X-intercepts are - 1, 3 or (- 1, 0) and (3, 0)

Step-by-step explanation:
In order to find the y-intercept(s), set every instance of variable x equal to 0 and solve the equation.

y = -(0 - 3)(0 + 1)
y = -(-3)(1)
y = -(-3)
y = 3 or (0, 3)

In order to find the x-intercept(s), set y = 0 and solve for each instance of x.

-(x - 3) = 0 -(x + 1) = 0
-x + 3 = 0 -x - 1 = 0
-3 -3 +1 +1

-x = -3 -x = 1
Divide both sides by -1

-x/-1 = -3/-1 -x/-1 = 1/-1
x = 3 x = -1

These x-intercepts would also be listed as (3, 0) and (-1, 0).

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