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# mat 117 concept check week 8

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Week 8 Mat117 concept check
Explain a process you would use to graph a quadratic equation. Include how to find the
x-intercepts, the vertex, and the axis of symmetry.
So suppose the equation you need to graph is: f(x)=ax
2
+bx+c. First we need to find the
vertex. The x-coordinate of the vertex is computed after the formula:
b
2a
and then the
y-coordinate of the vertex is f(
b
2a
). Now knowing this we can find the line of
symmetry which is the vertical line that passes through the vertex, thus
x=
b
2a
. If
a>0, then the function has a minimum, the graph will open up, if a<0, then the graph will
have a maximum; the graph will open down. Finally the x-intercepts are to be computed
by solving the following equation for x: f(x)=0, where the solutions will be the x-
coordinates of the intercepts.

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