Now the left part of the graph will be a mirror image

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Unformatted text preview: ple process. To find the y-intercept of a function y = f ( x ) all we need to do is set x = 0 and evaluate to find the y coordinate. In other words, the y-intercept is the point 0, f ( 0 ) . We find x-intercepts in pretty much the same way. We set y = 0 and solve ( ) the resulting equation for the x coordinates. So, we will need to solve the equation, f ( x) = 0 Now, let’s get back to parabolas. There is a basic process we can always use to get a pretty good sketch of a parabola. Here it is. © 2007 Paul Dawkins 206 College Algebra Sketching Parabolas 1. Find the vertex. We’ll discuss how to find this shortly. It’s fairly simple, but there are several methods for finding it and so will be discussed separately. ( ) 2. Find the y-intercept, 0, f ( 0 ) . 3. Solve f ( x ) = 0 to find the x coordinates of the x-intercepts if they exist. As we will see in our examples we can have 0, 1, or 2 x-intercepts. 4. Make sure that you’ve got at least one point to either side of the vertex...
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