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Laabri

Investigating transformation of a parabola

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Last updated almost 2 years ago
22 Nsɛmmisa
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Putting it together
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Graph the following equations using Desmos and upload a screenshot of your graphs:

y = x2

y = 2x2

y = 5x2

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Graph the equation that represents stretching y = x2 by a factor of 6. Upload a screenshot of your graph.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

In your own words, describe how the parabola changes as the “a” gets larger:

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Delete all of the graphs in Desmos. Now graph the following equations using Desmos and upload a screenshot of your graphs:

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

In your own words, describe how the parabola changes when “a” is a fraction between 0 and 1:

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Graph the equation that represents compressing y = x2 by a factor of 10. Upload your Desmos screenshot.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

In Desmos graph the equations below then upload a screenshot of your graph.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

In your own words describe how to translate a parabola vertically

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Which of the following has vertical transformation down 8 units

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Given the parent function: y = x2, write the equation to translate the parabola vertically up 4 units and compressed by a factor of 3:

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Use Desmos to graph the equations below and upload a screenshot of your graph.

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

What did you notice about the graphs of

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

How do you think the graph of

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Graph the equations in Desmos and upload a screenshot of your graph

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Without graphing explain how the parent function y = x2 is transformed by the equation y = 2x2 -3

Asemmisa {{asɛmmisaAhyɛnsode}}
16.
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17.
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18.

Write an equation that shift the parent function y = x2 five units to the left.

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Which letter below will cause a reflection over the x-axis

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Which letter below will cause a horizontal (left/right) shift of the parent function y = x2?

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Which letter below will cause a vertical (up/down) shift of the parent function y = x2?

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

Which letter below will cause a shrink or stretch of the parent function y = x2?