Graphing Quadratic Functions Worksheet Page 9
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11Graphing from Intercept Form
Another form of a quadratic function is intercept form or factored form:
( )
(
)(
)
Intercept form can be very useful because as its name suggests, the x-intercepts
can be easily identified. The x-intercepts are p and q. The axis of symmetry is
midway between (p, 0) and (q, 0).
14. To graph the function ( )
(
)(
4 ) which is in intercept form, do the following:
Step 1: Identify the x-intercepts.
Step 2: Plot the x-intercepts.
Step 3: The axis of symmetry is midway between the x-intercepts.
Determine the axis of symmetry and draw a dashed vertical line.
This also tells you the x-coordinate of your vertex.
Step 4: To find the y-coordinate of the vertex, plug the value of
the x-coordinate of the vertex into the function.
Step 5: Plot the vertex.
Step 6: To see more of the graph, determine one or two more
points on one side of the axis of symmetry, plot these, and then
plot the corresponding points.
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