SOLUTION: Find the x-intercepts and y-intercepts of the graph of the equation y=x^2 + 8

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Question 738448: Find the x-intercepts and y-intercepts of the graph of the equation y=x^2 + 8
Answer by DrRodion(1) About Me  (Show Source):
You can put this solution on YOUR website!
As you should have learned intercepts occur when the line intersects the x or y axis. Think about when a line will intercept the x axis..... When y+=+0 and the same for the y intercept.... When x+=+0. So what you need to do to find the intercepts in our example is set the x or y value to 0 and solve for the other variable. The equation you gave is y+=+x%5E2+%2B+8. So first we will set x+=+0, so the new equation is y+=+0%5E2+%2B+8. So as we know 0 to any power will always be 0 so if we simplify we get y+=+8. This means when you x value equals 0 you y value equals 8, this is you y intercept. Then we do the same for x. First we set y+=+0 and then adjust your equation to be 0+=+x%5E2+%2B+8 then we simplify... but we run into a problem when we reach +-8+=+x%5E2, we can not square root negative numbers or we get a imaginary answer. This means that we have no x intercept. So our only intercept is (8, 0)