For any given parabola, we will find the y-intercept and x-intercepts (if they exist). As completed in the last example, guessing x-values is not very efficient for all parabolas. We will discuss other methods in future sections.

Finding the y-intercept

For any given quadratic in the form y=ax^2+bx+c, find the y-intercept by setting x=0. In general, y=a(0)^2+b(0)+c=c, thus we have (0,c).

Finding the x-intercept

If x-intercepts exist, they can be found by setting y=0. As a result, we have the following: 0=ax^2+bx+c

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Need extra help?

Finding the y-intercept a bit confusing? Watch this to solidify your understanding.

Determing the x-intercept is one of the most critical aspects when it comes to understanding quadratic functions. If you need a little extra help, watch here.