Review Function Forms
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
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15 questions
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1.
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.
2.
FLASHCARD QUESTION
Front
What is vertex form of a quadratic function?
Back
The vertex form of a quadratic function is f(x) = a(x-h)^2 + k, where (h, k) is the vertex of the parabola.
3.
FLASHCARD QUESTION
Front
How do you find the average rate of change of a function between two points?
Back
The average rate of change between two points (x1, f(x1)) and (x2, f(x2)) is given by (f(x2) - f(x1)) / (x2 - x1).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
FLASHCARD QUESTION
Front
What does it mean to combine like terms in algebra?
Back
Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.
Tags
CCSS.7.EE.A.1
5.
FLASHCARD QUESTION
Front
What is the difference between standard form and vertex form of a quadratic function?
Back
Standard form expresses the function as f(x) = ax^2 + bx + c, while vertex form expresses it as f(x) = a(x-h)^2 + k, highlighting the vertex.
6.
FLASHCARD QUESTION
Front
What is the significance of the coefficient 'a' in a quadratic function?
Back
The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
How do you convert from standard form to vertex form?
Back
To convert from standard form to vertex form, you can complete the square.
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