Questions


October 2022 1 1 Report


Multiple Choice. Read and analyze each item. Identify and encircle the letter which represents the correct answer.

1. The graph of y=x2-3 is obtained by sliding the graph of y=x2:
a. 3 units downward
b. 3 units upward
C. 3 units to the right d. 3 units to the left

2. Determine the equation of the resulting graph when the parabola with equation y=x²+3. is shifted 4 units
downward.
a. y=x2-4
b. y=x2-1
C. y=x2+1
d. y=x2+7

3. Which of the following equations of parabola has wider opening?
a. y=-x2
b.y=-x2
C. y=3x2
d.y=5x2

4. Determine the vertex of the parabola in the quadratic function y=4-x2.
a. V(0,4)
b. V(-1,-2)
C. V(2,-4)
d. V(-4,0)

5. The equation of the axis of symmetry of the function y=-2x2+5x is
a. x=5
b. x=-2
C. X=4/3
d. x=5/4

6. What quadratic function contain the points (0,0), (2,6) and (5,30)?
y=-x2-x
b. y=-x²+x
C. y=x2-x
d. y=x2+x

7. Which quadratic function has no zeros?
a. y=x2-7
b. y=-x2-7
c. y=-x2+7
d. y=x2+7x

8. Which quadratic function contain the point (1,5)?
a. y=-x2 -2x-4
b. y=-x2+2x-4
c. y=-x-2x+4
d. y=-x2+2x+4

9. To determine the equation defining quadratic function given its table of values, at least how many point(s) must be
taken to solve for constants a, b, and c?
a. 1
b. 2
c. 3
d. 4

10. What quadratic function contain the points (-1,0), (1,0), and (2,3)?
a.y=-x2-1
b. y=-x2+1
C. y=x2-1
d. y=x2+1

For items 11-13:
From a 96-foot building, an object is thrown straight up into the are then follows a trajectory. The height S(t)
of the ball above the building after t seconds is given by the function S(t)=80t-16t?.

11. What is the maximum height will the object reach?
a.50 ft.
b. 80 ft.
C. 100 ft.
d. 200ft.

12. How long will it take the object to reach the maximum height?
a.1.5 seconds
b. 2.5 seconds
C. 3 seconds
d. 2 seconds

13. Find the time at which the object is in the ground.
a. 3 seconds
b. 6 seconds
c. 10 seconds
d. 5 seconds

14. What are the dimensions of the largest area of a pen that can be closed by a 64m fence?
a. 16m by 16m
b. 20m by 20m
c. 12m by 12m
d. 10m by 10m

15. A farmer has 120m of fencing. He wants to put a fence around three sides of a rectangular plot of land, with the
side of the barn forming the fourth side. What dimensions give this area?
a. 30m by 60m
b. 20m by 30m
c. 20m by 40m
d. 40m by 60m

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