What is the vertex form of a quadratic function?
Algebra 2 - Final Review

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Mathematics
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10th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The vertex form of a quadratic function is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
2.
FLASHCARD QUESTION
Front
How do you find the maximum profit from a quadratic profit function?
Back
To find the maximum profit from a quadratic function P = ax² + bx + c, use the formula s = -b/(2a) to find the selling price that maximizes profit.
3.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic function indicate about the graph?
Back
The 'a' value indicates the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
4.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a quadratic function?
Back
The y-intercept is the point where the graph intersects the y-axis, which occurs when x = 0. It represents the value of the function at that point.
5.
FLASHCARD QUESTION
Front
How do you determine the x-intercepts of a quadratic equation?
Back
To find the x-intercepts, set the quadratic equation to zero and solve for x using factoring, completing the square, or the quadratic formula.
6.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of the quadratic equation ax² + bx + c = 0.
7.
FLASHCARD QUESTION
Front
What is the difference between a function with a maximum value and one with a minimum value?
Back
A function with a maximum value has a peak point (vertex) and opens downwards, while a function with a minimum value has a trough point and opens upwards.
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