What is the vertex of the quadratic function y = ax^2 + bx + c?
Algebra 1 STAAR Review

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Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The vertex of the quadratic function is the point (h, k) where h = -b/(2a) and k = f(h). It represents the maximum or minimum point of the parabola.
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.
3.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic function determine?
Back
The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).
4.
FLASHCARD QUESTION
Front
How do you find the axis of symmetry for a quadratic function?
Back
The axis of symmetry can be found using the formula x = -b/(2a). It is a vertical line that divides the parabola into two mirror images.
5.
FLASHCARD QUESTION
Front
What is the transformation of the function f(x) = x^2 when it becomes f(x) = (x - 3)^2?
Back
The transformation is a horizontal shift to the right by 3 units.
6.
FLASHCARD QUESTION
Front
What is the transformation of the function f(x) = x^2 when it becomes f(x) = x^2 + 4?
Back
The transformation is a vertical shift upward by 4 units.
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 the parabola opens downward (a < 0), and the vertex represents the highest point on the graph.
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