Do NOW 3/29 Quadratic Transformations
- 1. Which of these parabolas is the most stretched (narrowest)?
A) y = 10x2
B) y = x2
C) y = -4x2
D) y =0.06x2
- 2. Which of these parabolas is the most compressed (widest)?
A) y = (-1/9)x2
B) y = 3x2
C) y = x2
D) y = (1/4)x2
- 3. Which equation translates the parent function 5 units up?
A) y = 5x2 +5
B) y = x2+5
C) y =-5x2-5
D) y = x2 - 5
- 4. Which equation translates the parent function down 3 units?
A) y = -x2 - 3
B) y = x2 - 3
C) y = x2 - 13
D) y = -3x2
- 5. Which equation makes the parent function wider (compresses)?
A) y = 1/2x2
B) y = -2x2
C) y = 3/2x2
- 6. Which equation would make the parent function narrower by a factor of 5 and shift it down 2 units?
A) y = -5x2+2
B) y = 1/5x2 - 2
C) y = 5x2+2
D) y = 5x2-2
- 7. Which equation represents the function y = -4x2 reflected over the x-axis?
A) y = 4x2
B) y = (1/4)x2
C) y = (-1/4)x2
D) y = (x - 4)2
- 8. Which equation represents the parent function translated down 4 units and a compressed (made wider) by a factor of 3?
A) y = 1/3x2 - 4
B) y = -1/3x2 - 4
C) y = -3x2 + 4
D) y = 3x2 - 4
- 9. Which equation represents the parent function translated up 10 units?
A) y = x2 + 10
B) y = (x - 10)2
C) y = 10x2
D) y = x2 - 10
- 10. Which equation transforms the parent function by shifting it 8 units down, stretching it (narrower) by a factor of 3, and reflects it over the x-axis?
A) y = (-1/3)x2-8
B) y = 1/3x2+8
C) y = 3x2-8
D) y = -3x2-8
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