How many intercepts does y = x^2 − 9 have?

1 Answer
Alan P.
Aug 8, 2015

y = x^2-9 has
color(white)("XXXX")1 y-intercept and
color(white)("XXXX")2 x-intercepts

Explanation:

The y-intercept(s) is/are the possible values of y when x=0
color(white)("XXXX")y = (0)^2 -9
only has one solution (y=-9)

The x-intercept(s) is/are the possible values of x when y=0
color(white)("XXXX")0 = x^2-9
color(white)("XXXX")rarr x^2 = 9
color(white)("XXXX")rarr x=+3 or x=-3
(2 possible solutions)

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