Standard Form to Vertex Form

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is written as f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is vertex form of a quadratic equation?
Back
The vertex form of a quadratic equation is written as f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.
3.
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.
4.
FLASHCARD QUESTION
Front
What is completing the square?
Back
Completing the square is a method used to convert a quadratic equation into vertex form by adding and subtracting the same value to create a perfect square trinomial.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What is the vertex of the parabola represented by the equation f(x) = 2(x + 1)² + 8?
Back
The vertex of the parabola is (-1, 8).
6.
FLASHCARD QUESTION
Front
What does the 'a' value in vertex form indicate about the parabola?
Back
The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
Convert the quadratic equation y = x² + 4x into vertex form.
Back
y = (x + 2)² - 4.
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