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Investigating transformation of a parabola

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Last updated over 1 year ago
22 questions
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Question 1
1.

Graph the following equations using Desmos and upload a screenshot of your graphs:
y = x2
y = 2x2
y = 5x2

Question 2
2.

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

Question 3
3.

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

Question 4
4.

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



Question 5
5.

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

Question 6
6.

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

Question 7
7.

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




Question 8
8.

In your own words describe how to translate a parabola vertically

Question 9
9.

Question 10
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:

Question 11
11.

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


Question 12
12.

What did you notice about the graphs of

Question 13
13.

Question 14
14.

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

Question 15
15.

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

Question 16
16.
Use when graphed in desmos how does the equation y = (x -3)2 compare to the parent function y = x2? The equation y = (x - 3)2 is shifted 3 units to the __________
Question 17
17.
Use when graphed in desmos how does the equation y = (x + 3)2 compare to the parent function y = x2? The equation y = (x + 3)2 is shifted 3 units to the __________
Question 18
18.

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

Question 19
19.

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

y = A (x - h )2 + k
Question 20
20.

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

y = A (x - h )2 + k
Question 21
21.

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

y = A (x - h )2 + k
Question 22
22.

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

y = A (x - h )2 + k
Which of the following has vertical transformation down 8 units
How do you think the graph of
They will be the same graph
One will be reflected over the x-axis
One will be wider
One will be moved down