Quadratic Functions Word Problems
Quiz
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the significance of the coefficient 'a' in a quadratic function?
It determines the direction of the parabola and affects its width.
It represents the y-intercept of the function.
It indicates the maximum value of the function.
It determines the number of roots of the quadratic equation.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is a quadratic function?
A polynomial function of degree 1
A polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
A linear function that graphs to a straight line
A function that has a constant value regardless of the input
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the difference between maximum and minimum in the context of quadratic functions?
Maximum refers to the highest point of the parabola (if it opens downwards), while minimum refers to the lowest point (if it opens upwards).
Maximum is the lowest point of the parabola, while minimum is the highest point.
Maximum and minimum refer to the same point on the parabola regardless of its direction.
Maximum is the point where the parabola intersects the x-axis, while minimum is where it intersects the y-axis.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the axis of symmetry in a quadratic function?
A vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).
A horizontal line that intersects the vertex of the parabola.
The point where the parabola touches the x-axis.
A diagonal line that runs from the vertex to the x-axis.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does it mean for a quadratic function to be in vertex form?
A quadratic function is in vertex form when it is expressed as f(x) = a(x - h)² + k, highlighting the vertex (h, k) directly.
A quadratic function is in vertex form when it is expressed as f(x) = ax² + bx + c, showing the standard form.
A quadratic function is in vertex form when it is expressed as f(x) = a(x + h)² + k, indicating the vertex at (-h, k).
A quadratic function is in vertex form when it is expressed as f(x) = a(x - h)(x - k), representing the roots.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How do you find the maximum height of an object modeled by a quadratic function?
By calculating the vertex of the parabola using the formula t = -b/(2a) and substituting this value back into the function.
By finding the roots of the quadratic equation and averaging them.
By using the quadratic formula to solve for the maximum height directly.
By graphing the function and identifying the highest point visually.
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How do you determine if a quadratic function has a maximum or minimum?
If 'a' is positive, the function has a maximum; if 'a' is negative, the function has a minimum.
If 'a' is positive, the function has a minimum; if 'a' is negative, the function has a maximum.
The function has a maximum if the vertex is above the x-axis.
The function has a minimum if the vertex is below the x-axis.
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