9-3 Quadratic Transformations
- 1. Which of these parabolas is the narrowest?
A) y = x2
B) y = -4x2
C) y = 6x2
D) y = 10x2
- 2. Which of these parabolas is the widest?
A) y = 3x2
B) y = (-1/9)x2
C) y = (1/4)x2
D) y = x2
- 3. Which equation shifts the parent function 5 units to the right?
A) y = (x + 5)2
B) y = x2 + 5
C) y = x2 - 5
D) y = (x - 5)2
- 4. Which equation shifts the parent function 3 units to the left?
A) y = x2 + 3
B) y = (x - 3)2
C) y = (x + 3)2
D) y = x2 - 3
- 5. Which equation compresses the parent function?
A) y = 2x2
B) y = (1/2)x2
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 = -4x2 reflected over the x-axis?
A) y = (-1/4)x2
B) y = 4x2
C) y = (x - 4)2
D) y = (1/4)x2
- 8. Which equation represents a vertical shift down 4 units and a compression of a factor of 1/3 of the parent function?
A) y = (1/3)x2 - 4
B) y = 3x2 - 4
C) y = -3x2 + 4
D) y = (x + 3)2 - 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, 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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