Transforming Parabolas Worksheet
Grade 9 Math worksheet focusing on transformations of parabolas, including translations, reflections, and dilations.
Includes
Standards
Topics
Transforming Parabolas
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Date:
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Read each question carefully and follow the instructions to transform the parabolas.
1. Describe the transformation that occurs when the function f(x) = x² is changed to f(x) = (x - 3)².
2. How does the graph of y = -x² differ from the graph of y = x²?
3. Which equation represents a parabola that has been shifted 2 units up from the parent function y = x²?
y = (x - 2)²
y = x² + 2
y = x² - 2
y = (x + 2)²
4. What is the vertex of the parabola y = (x + 4)² - 1?
(4, 1)
(-4, 1)
(4, -1)
(-4, -1)
5. A parabola opens downward if the coefficient of the x² term is .
6. The graph of y = 3x² is than the graph of y = x².
7. The vertex of the parabola y = (x - 5)² is (5, 0).
True
False
8. A vertical stretch makes the parabola appear wider.
True
False
9. Graph the parent function y = x² and the transformed function y = -(x + 1)² + 3 on the coordinate plane below. Label both graphs.
10. Write the equation of a parabola that opens downward, has its vertex at (2, -5), and is vertically stretched by a factor of 2.
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