
Graphs of Quadratic Functions
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•
Mathematics
•
9th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What does the coefficient 'a' in a quadratic function determine?
Back
The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
3.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).
4.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function?
Back
The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, and then substituting this value back into the function to find the y-coordinate.
5.
FLASHCARD QUESTION
Front
What is the y-intercept of a quadratic function?
Back
The y-intercept is the point where the graph intersects the y-axis, found by evaluating the function at x = 0, which gives the value of c in y = ax² + bx + c.
6.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a quadratic function?
Back
The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.
7.
FLASHCARD QUESTION
Front
What does it mean for a quadratic function to have a maximum value?
Back
A quadratic function has a maximum value when it opens downwards (a < 0), and the vertex is the highest point on the graph.
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