Minimum And Maximum Point Of A Quadratic Equation
- 1.
What is the minimum point and the corresponding value of x of the graph y=2(x-3)2+6
- A.
Y=-6 and x=3
- B.
Y=6 and x=-3
- C.
Y=6 and x=3
- D.
Y=-6 and x=-3
Correct Answer
C. Y=6 and x=3Explanation
At Minimum point, (x-3)2=0, Therefore y=6 when x=3Rate this question:
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- 2.
What is the maximum point and the corresponding value of x of the graph y=-3(x-1/2)2+3?
- A.
Y=3 and x= -1/2
- B.
Y= -3 and x=1/2
- C.
Y= -3 x= -1/2
- D.
Y=3 and x=1/2
Correct Answer
D. Y=3 and x=1/2Explanation
At Maximum point, (x-1/2)2=0, Therefore y=3 when x=-1/2Rate this question:
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- 3.
What is the minimum point and the corresponding value of x of the graph y=4x2?
- A.
Y=0 and x=0
- B.
Y=0 and x=4
- C.
Y=4 and x=4
- D.
Y=4 and x=0
Correct Answer
D. Y=4 and x=0Explanation
At Minimum point, 4x2=0, Therefore y=4 when x=0Rate this question:
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- 4.
What is the maximum point and the corresponding value of x of the graph y=-4(x+2)2?
- A.
Y=0 and x=0
- B.
Y=0 and x=-2
- C.
Y=0 and x=-2
- D.
Y=-4 and x=-2
Correct Answer
C. Y=0 and x=-2Explanation
At Maximum point, (x+2)2=0, Therefore y=0 when x=-2Rate this question:
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- 5.
What is the minimum point and the corresponding value of x of the graph y=(x-4)(2x-5)?
- A.
Y=-1.125 and x= 3.25
- B.
Y=1.125 and x=-3.25
- C.
Y= 2.5 and x= 4
- D.
Y=-2.5 and x=-4
Correct Answer
A. Y=-1.125 and x= 3.25Explanation
x-intercept, 2x-5=0 and x-4=0
Therefore x1=5/2 and x2=4. Take the Mid-Point of x1 and x2 to find the corresponding value of x. Substitute into equation to find y. Answer (3.25, -1.125)Rate this question:
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- 6.
What is the minimum point and the corresponding value of x of the graph y=-(1-x)(x+2)?
- A.
Y=-1.5 and x=-2.85
- B.
Y= -2-25 and x=0.5
- C.
Y= 1.5 and x= 2.85
- D.
Y= -2.25 and x=-0.5
Correct Answer
D. Y= -2.25 and x=-0.5Explanation
x-intercept, 1-x=0 and x+2=0
Therefore x1=-2 and x2=1. Take the Mid-Point of x1 and x2 to find the corresponding value of x.
Substitute into equation to find y. Answer (-0.5, -2.25)Rate this question:
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- 7.
What is the minimum point and the corresponding value of x of the graph y=1/2(x+3)(x-4)?
- A.
Y= 0.25 x=6.125
- B.
Y= -0.25 and x= -6.125
- C.
Y= -6.125 and x=0.5
- D.
Y=-12 and x=6.125
Correct Answer
C. Y= -6.125 and x=0.5Explanation
x-intercept, x+3=0 and x-4=0
Therefore x1=-3 and x2=4. Take the Mid-Point of x1 and x2 to find the corresponding value of x. Substitute into equation to find y. Answer (0.5, -6.125)Rate this question:
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- 8.
What is the minimum point and the corresponding value of x of the graph y=1/4(x-2)(x-2)?
- A.
Y=0 and x=2
- B.
Y=0 and x=4
- C.
Y= -4 and x=2
- D.
Y=1/4 and x= 4
Correct Answer
A. Y=0 and x=2Explanation
x-intercept, x-2=0. (A repeat root has only 1 value of x at the x-intercept.)
Therefore x=2. Substitute into equation to find y. Answer (3.25, -1.125)Rate this question:
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Mar 09, 2020Quiz Edited by
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Mar 04, 2020Quiz Created by
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