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

Question 738448: Find the x-intercepts and y-intercepts of the graph of the equation y=x^2 + 8
Answer by DrRodion(1) (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 and the same for the y intercept.... When . 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 . So first we will set , so the new equation is . So as we know 0 to any power will always be 0 so if we simplify we get . 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 and then adjust your equation to be then we simplify... but we run into a problem when we reach , 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)
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