Question 135926: How do you compute the intercepts of a quadratic function? (both x and y intercepts)
Answer by nycsharkman(136)   (Show Source):
You can put this solution on YOUR website! To find the x intercept, set y = 0 and solve for x.
To find the y intercept, set x = 0 and solve for y.
SAMPLE:
Find the x and y intercepts of the function 3x^2 - y = 6
You can find either intercept first.
x intercept:
Replace y with 0 and solve for x.
3x^2 - (0) = 6
3x^2 = 6
Divide both sides by 3.
x^2 = 6/3
x^2 = 2
Take square root of both sides.
x = +sqrt{2}, -sqrt{2}....Here are the two x intercepts.
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y intercept:
Replace x with 0 and solve for y.
3x^2 - y = 6
3(0)^2 - y = 6
0 - y = 6
-y = 6
Divide both sides by -1.
y = 6/-1
y = -6...This is your y intercept.
Is this clear?
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