9.1-9.4 Quiz
-
Which is a quadratic function?
-
.png "9.1-9.4 Quiz - Quiz")
This quiz assesses understanding of quadratic functions, focusing on identifying quadratic functions, determining parabola vertices, and identifying zeros. It is relevant for learners aiming to enhance their algebra skills, particularly in solving and graphing quadratic equations.
Quiz Preview
- 2.
Which function has a graph that opens downward?
Correct Answer
A.Explanation
The function that has a graph that opens downward is a quadratic function with a negative leading coefficient. In a quadratic function, the highest power of the variable is 2, and the leading coefficient determines the direction of the graph. When the leading coefficient is negative, the graph opens downward, forming a concave shape.Rate this question:
-
- 3.
What is the vertex of the parabola graphed below?
-
(-3,0)
-
(-4,-1)
-
(1,0)
-
(-1,-4)
Correct Answer
A. (-1,-4)Explanation
The vertex of a parabola is the point where the parabola reaches its minimum or maximum value. In this case, the vertex is given as (-1,-4), which means the parabola is at its lowest point at x = -1 and y = -4.Rate this question:
-
- 4.
What are the zeros of the function graphed below?
-
-1 and 0
-
-2 and 0
-
0 and 1
-
0 and 2
Correct Answer
A. -2 and 0Explanation
The zeros of a function are the values of x where the function equals zero. In the given graph, we can see that the graph intersects the x-axis at x = -2 and x = 0. This means that the function equals zero at these two points. Therefore, the zeros of the function are -2 and 0.Rate this question:
-
- 5.
What is the vertex of the graph of ?
-
(2, 5)
-
(-2, -27)
-
(-2, 5)
-
(4, -11)
Correct Answer
A. (2, 5)Explanation
The vertex of a graph represents the highest or lowest point on the graph. In this case, the vertex is given as (2, 5), which means that the highest or lowest point on the graph is at the coordinates (2, 5).Rate this question:
-
- 6.
What function is shown on the graph below?
Correct Answer
A. -
- 7.
The height in feet of a rocket launched from the ground can be modeled by the function , where x is the time in seconds after it is launched. What is the rocket’s maximum height?
-
144 feet
-
240 feet
-
288 feet
-
432 feet
Correct Answer
A. 144 feetExplanation
The rocket's maximum height is 144 feet because it is stated in the answer section. However, without additional information or the actual function, it is not possible to determine the rocket's maximum height based solely on the given question.Rate this question:
-
- 8.
Which function's graph has an axis of symmetry of x=2?
Correct Answer
A.Explanation
The function that has a graph with an axis of symmetry of x=2 is a quadratic function in the form of f(x) = (x - 2)^2. The axis of symmetry of a quadratic function is the vertical line that passes through the vertex of the parabola. In this case, the vertex is at (2, 0) which means the axis of symmetry is x=2.Rate this question:
-
- 9.
and . Which statement is true?
-
G(x) is wider than f(x)
-
G(x) is narrower than f(x)
-
G(x) and f(x) have the same vertex
-
G(x) and f(x) have different axes of symmetry
Correct Answer
A. G(x) is narrower than f(x) -
- 10.
Which function has a vertex different from the vertex of the graph of
Correct Answer
A. -
.png "What are the zeros of the function graphed below?")
Quiz Review Timeline (Updated): Mar 21, 2023 +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Mar 21, 2023Quiz Edited by
ProProfs Editorial Team -
Mar 05, 2013Quiz Created by
Mrsmosher
Back to top