(Alg.2) 4.1 (Flashcard) Quadratics Functions.
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the equation for the axis of symmetry of a quadratic function?
Back
The axis of symmetry is given by the equation x = -\frac{b}{2a}, where a and b are coefficients from the quadratic equation in the form y = ax^2 + bx + c.
2.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point of the parabola, found at the coordinates (h, k) where h = -\frac{b}{2a} and k is the value of the function at h.
3.
FLASHCARD QUESTION
Front
How do you find the axis of symmetry for the function y = 2x^2 + 4x + 1?
Back
The axis of symmetry can be found using the formula x = -\frac{b}{2a}. Here, a = 2 and b = 4, so x = -\frac{4}{2(2)} = -1.
4.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants.
5.
FLASHCARD QUESTION
Front
How do you determine if a quadratic function opens upwards or downwards?
Back
A quadratic function opens upwards if the coefficient a > 0 and downwards if a < 0.
6.
FLASHCARD QUESTION
Front
What is the formula to find the y-coordinate of the vertex?
Back
The y-coordinate of the vertex can be found by substituting h into the function: k = f(h) = a(h^2) + b(h) + c.
7.
FLASHCARD QUESTION
Front
What are the values of a, b, and c in the quadratic equation y = 3x^2 - 5x + 2?
Back
In this equation, a = 3, b = -5, and c = 2.
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