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Quadratic Transformations
1. Which of these parabolas is the narrowest? A) y = 10x2 B) y = -4x2 C) y = 6x2 D) y = x2
2. Which of these parabolas is the widest? A) y = (1/4)x2 B) y = (-1/9)x2 C) y = 3x2 D) y = x2
3. Which equation shifts the parent function 5 units to the right? A) y = x2 + 5 B) y = (x - 5)2 C) y = (x + 5)2 D) y = x2 - 5
4. Which equation shifts the parent function 3 units to the left? A) y = x2 - 3 B) y = (x + 3)2 C) y = x2 + 3 D) y = (x - 3)2
5. Which equation compresses the parent function by a factor of 2? A) y = (1/2)x2 B) y = 2x2 C) y = -2x2
6. Which equation represents the parent function translated to the right 4 units and vertically stretched by a factor of 5? A) y = 5x2 - 4 B) y = 5(x - 4)2 C) y = 5(x + 4)2
7. Which equation represents the function y = -4x 2 reflected over the x-axis? A) y = (1/4)x2 B) y = 4x2 C) y = (-1/4)x2 D) y = (x - 4)2
8. Which equation represents a vertical shift down 4 units and a compression of a factor of 3 of the parent function? A) y = -3x2 + 4 B) y = 3x2 - 4 C) y = (x + 3)2 - 4 D) y = (1/3)x2 - 4
9. Which equation represents a vertical shift of the parent function up 10 units? A) y = 10x2 B) y = (x - 10)2 C) y = x2 - 10 D) y = x2 + 10
10. Which equation transforms the parent function by shifting it 2 units left, 8 units down, compresses it by a factor of 3, and reflects it over the x-axis? A) y = (-1/3)(x + 2)2 - 8 B) y = (-1/3)(x - 2)2 - 8 C) y = -3(x - 2)2 - 8 D) y = -3(x + 2)2 - 8
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Answer Key
1.A 2.B 3.B 4.B 5.A 6.B 7.B 8.D 9.D 10.A Created with That Quiz — a math test site for students of all grade levels.