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Mathematics, 22.06.2021 09:10 shiannethorn

What is the orientation of =22+4βˆ’30 y=2x^2+4xβˆ’30? That is, does it open upward or open downward? How could you change the equation to make the graph open the opposite way?

What is the stretch factor of =22+4βˆ’30
y=2x^2+4xβˆ’30? Justify your answer.

Can you identify the vertex of =22+4βˆ’30
y=2x^2+4xβˆ’30
by looking at the equation? If not, talk with your team about strategies you could use to find the vertex without using a table or graphing calculator and then apply your new strategy to the problem. If your team is stuck consider doing parts (i) through (iii) below.

What are the
x
-intercepts of the parabola?

Where is the vertex located in relation to the
x
-intercepts? Can you use this relationship to find the
x
coordinate of the vertex?

Use the
x
-coordinate of the vertex to find its
y
-coordinate.

Make a quick sketch of =22+4βˆ’30
y=2x^2+4xβˆ’30
and write its equation in graphing form.

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Answers: 1

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What is the orientation of =22+4βˆ’30 y=2x^2+4xβˆ’30? That is, does it open upward or open downward? Ho...
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