Transforming Parabolas Worksheet
A Grade 11 math worksheet focusing on understanding and applying transformations to parabolic functions, including translations, reflections, and dilations.
Includes
Standards
Topics
Transforming Parabolas
Name:
Date:
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Read each question carefully and provide the best answer. Show all your work where applicable.
1. Which transformation shifts the graph of y = x² three units to the right?
y = x² + 3
y = x² - 3
y = (x + 3)²
y = (x - 3)²
2. The graph of y = -2x² is a reflection of y = x² across the x-axis and a vertical stretch by a factor of:
1/2
2
-2
-1/2
3. The vertex form of a parabola is y = a(x - h)² + k, where (h, k) represents the of the parabola.
4. A positive value for 'a' in the equation y = a(x - h)² + k indicates that the parabola opens .
5. Describe the transformations applied to the graph of y = x² to obtain the graph of y = (x + 4)² - 1.
6. A vertical compression by a factor of 1/3 means the 'a' value in y = ax² is 3.
True
False
7. Reflecting a parabola across the y-axis changes the sign of the 'h' value in vertex form.
True
False
8. Graph the parent function y = x² and the transformed function y = -(x - 2)² + 3 on the same coordinate plane. Label both parabolas.
Match the equation with its description of transformation from y = x².
9. y = (x + 5)²
a. Shifted down 2 units
10. y = x² - 2
b. Shifted left 5 units
11. y = 3x²
c. Vertical stretch by factor of 3
12. y = -x²
d. Reflected across the x-axis
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