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The quadratic function is .
a.
Find the -intercept.
The standard form of quadratic function , where .
Rewrite the function .
and .
The -intercept of the equation is .
Find the equation of the axis of symmetry and -coordinate of the vertex.
The equation of the axis of symmetry is .
(Substitute the values and )
(Simplify)
The -coordinate of the vertex is .
The equation of the axis of symmetry is and -coordinate of the vertex is .
b.
Make a table of values that includes the vertex.
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c.
Graph:
Plot the points obtained in the table.
Graph the quadratic function :
a.
The -intercept of the equation is .
The equation of the axis of symmetry is and -coordinate of the vertex is .
b.
Table:
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c.
The graph of the quadratic function is
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