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Investigating transformation of a parabola

Last updated over 1 year ago
22 questions
Untitled Section
1

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

1

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

Required
1

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

1

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



1

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

1

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

1

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




1

In your own words describe how to translate a parabola vertically

1

Which of the following has vertical transformation down 8 units

1

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

1

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


1

What did you notice about the graphs of

1

How do you think the graph of

1

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

1

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

1
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 __________
1
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 __________
1

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

Putting it together
1

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

y = A (x - h )2 + k
1

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

y = A (x - h )2 + k
1

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

y = A (x - h )2 + k
1

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

y = A (x - h )2 + k