Convert from Standard 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 vertex form of a quadratic equation?
Back
The vertex form of a quadratic equation 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 convert a quadratic equation from standard form to vertex form?
Back
To convert from standard form (y = ax² + bx + c) to vertex form, complete the square on the quadratic expression.
3.
FLASHCARD QUESTION
Front
What is the vertex of the parabola represented by the equation y = (x - 1)² - 6?
Back
The vertex is (1, -6).
4.
FLASHCARD QUESTION
Front
What does the 'a' value in the vertex form of a quadratic equation indicate?
Back
The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
Convert the equation y = x² - 2x - 5 into vertex form.
Back
y = (x - 1)² - 6.
6.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a quadratic function?
Back
The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.
7.
FLASHCARD QUESTION
Front
Convert f(x) = x² + 12x - 2 into vertex form.
Back
f(x) = (x + 6)² - 38.
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