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Part 1 − Find the vertex, axis of symmetry, domain, and range of the graph of y = −3x2 − 3x + 4. Show all work for full credit. Part 2 − Using complete sentences, explain how you can determine the axis of symmetry, the domain, and range without graphing y = −3x2 − 3x + 4.
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Do you know how to find the vertex?
First of all the coefficient of \[x ^{2}\] is negatif (i.e -3)
so the parabola has an maximum
you have to find the roots using the quadratic formula
\[x _{1,2}=\frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a}\]
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x1=\[\frac{ 3+\sqrt{9-4(-3)4} }{ 2(-3) }\]
x1=-1.75
x2=0.75
|dw:1371566396504:dw|
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