Graphs Of Quadratic Functions! Hardest Trivia Quiz
Below is the hardest trivia quiz graphs of quadratic functions. There are a lot of people who have a hard time when it comes to fining unknowns in a quadratic equations but one of the fun ways to do so is using a graph. If you feel that you techniques is still rusty, this quiz is exactly what you need to refresh your memory. Do give it a shot and keep an eye out for more like it!.
- 1.
Which best describes the graph of a quadratic function?
- A.
A line.
- B.
A u-shape.
- C.
A v-shape.
- D.
A ramp.
Correct Answer
B. A u-shape.Explanation
The graph of a quadratic function is best described as a u-shape because it forms a curve that opens either upward or downward. This curve is symmetric and smooth, resembling the shape of the letter "U". The u-shape is characteristic of quadratic functions, which are second-degree polynomial functions. It is important to note that a quadratic function can open upward or downward depending on the coefficient of the quadratic term.Rate this question:
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- 2.
How do you change the direction of the graph of a quadratic function?
- A.
Multiply it by the reciprocal.
- B.
Change the sign in front of x^2.
- C.
Take the square root of both sides.
- D.
Change the sign in front of x.
Correct Answer
B. Change the sign in front of x^2.Explanation
To change the direction of the graph of a quadratic function, you need to change the sign in front of x^2. This is because the coefficient of x^2 determines whether the parabola opens upwards or downwards. If the coefficient is positive, the parabola opens upwards, and if it is negative, the parabola opens downwards. By changing the sign in front of x^2, you are essentially changing the coefficient and therefore changing the direction of the graph.Rate this question:
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- 3.
I want to move the graph ________ the y-axis, so I am going to add 7.
Correct Answer
upExplanation
The correct answer is "up" because the statement mentions moving the graph along the y-axis, and adding a positive value to the y-coordinate will shift the graph upwards.Rate this question:
- 4.
Subtracting 7 from y=x2+2x will move the graph how?
- A.
Left 7.
- B.
Right 7.
- C.
Up 7.
- D.
Down 7.
- E.
None of these.
Correct Answer
D. Down 7.Explanation
Subtracting 7 from the equation y = x^2 + 2x will result in y = x^2 + 2x - 7. This means that the entire graph will shift downward by 7 units. The vertex of the parabola will also shift downward, resulting in a new minimum point that is 7 units lower than the original minimum point. Therefore, the correct answer is "Down 7."Rate this question:
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- 5.
To make the graph y=x2+4x+7 just grow faster I would do the following:
- A.
Multiply all the numbers by a number bigger than 1.
- B.
Multiply the number if front of x by a number bigger than 1.
- C.
Multiply the number in front of x^2 by a number bigger that 1.
- D.
Multiply the number if front of x by a number in between 0 and 1.
- E.
Multiply the number in front of x^2 by a number in between 0 and 1.
Correct Answer
C. Multiply the number in front of x^2 by a number bigger that 1.Explanation
By multiplying the number in front of x^2 by a number bigger than 1, the graph of the equation y=x^2+4x+7 will become steeper and grow faster. This is because the coefficient of x^2 determines the rate at which the graph increases or decreases. When this coefficient is multiplied by a number greater than 1, it amplifies the effect of the x^2 term, causing the graph to become steeper.Rate this question:
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- 6.
To make y=6x2+4 just grow slower I would...
- A.
Multiply all the numbers by a number bigger than 1.
- B.
Multiply the number if front of x by a number bigger than 1.
- C.
Multiply the number in front of x^2 by a number bigger that 1.
- D.
Multiply the number if front of x by a number in between 0 and 1.
- E.
Multiply the number in front of x^2 by a number in between 0 and 1.
Correct Answer
E. Multiply the number in front of x^2 by a number in between 0 and 1.Explanation
To make the equation y=6x^2+4 grow slower, we need to decrease the coefficient in front of x^2. Multiplying it by a number between 0 and 1 would achieve this. This is because multiplying a number by a value between 0 and 1 reduces its magnitude, resulting in a slower growth rate.Rate this question:
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- 7.
The graph of y=x2 has a/an __________________ point.
Correct Answer
minimum
minExplanation
The graph of y=x^2 has a minimum point. This is because the graph of a quadratic function in the form y=ax^2+bx+c opens upward when the coefficient "a" is positive, like in this case. The minimum point is the lowest point on the graph, where the function reaches its minimum value. In this case, the minimum point occurs at the vertex of the parabola, which is at the origin (0,0). Therefore, the correct answer is "minimum" or "min".Rate this question:
- 8.
The graph of y = - 7x2 + 7x + 4 has a/an __________________ point.
Correct Answer
maximum
maxExplanation
The graph of the given equation is a downward-opening parabola. Since the coefficient of the x^2 term is negative, the parabola opens downwards. The term "maximum" refers to the highest point on the graph. Therefore, the correct answer is "maximum" or "max".Rate this question:
- 9.
Will the graph of a quadratic ever cover both all of the positive and negative y-values?
- A.
Yes.
- B.
No.
Correct Answer
B. No.Explanation
It will either go up forever and miss some negative y-values, or go down forever and miss some positive y-values.Rate this question:
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- 10.
Quadratic functions have a line of symmetry.
- A.
True.
- B.
False.
Correct Answer
A. True.Explanation
Quadratic functions have a line of symmetry because the graph of a quadratic function is a parabola, and a parabola is symmetric about its line of symmetry. This means that if you draw a vertical line through the vertex of the parabola, the two sides of the parabola will be mirror images of each other. Therefore, the statement is true.Rate this question:
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Current Version
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Mar 22, 2023Quiz Edited by
ProProfs Editorial Team -
May 18, 2010Quiz Created by
Mr.Brasher
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