Math 212 Graphing Parabolas
Name:________________________
Find the y intercept, the x intercepts, the vertex, the equation of the axis of symmetry then
graph the equation of the parabola y = p(x).
1.
a)
The y intercept
Substitute x = 0 into y = p(x), then find y.
b)
The x intercept
Substitute y = 0 into y = p(x), then solve for x by factoring.
c)
The vertex
The x coordinate of the vertex is average of the two x intercepts.
Find the y-coordinate of the vertex by evaluating p(x) at the x-coordinate of the
vertex
d)
Use the axis of symmetry to find a point on the graph of the parabola with the same
y-coordinate as the y intercept
2.
a)
The y intercept
Substitute x = 0 into y = p(x), then find y.
b)
The x intercept
Substitute y = 0 into y = p(x), then solve for x by factoring.
c)
The vertex
The x coordinate of the vertex is average of the two x intercepts.
Find the y-coordinate of the vertex by evaluating p(x) at the x-coordinate of the
vertex
d)
Use the axis of symmetry to find a point on the graph of the parabola with the same
y-coordinate as the y intercept

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