Vertex Form Quadratics
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the 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.
2.
FLASHCARD QUESTION
Front
What does the 'a' value in vertex form indicate about the parabola?
Back
The 'a' value indicates the direction the parabola opens: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.
3.
FLASHCARD QUESTION
Front
How do you find the axis of symmetry from the vertex form?
Back
The axis of symmetry can be found using the formula x = h, where (h, k) is the vertex.
4.
FLASHCARD QUESTION
Front
What transformation does the term (x-h) represent in vertex form?
Back
The term (x-h) represents a horizontal shift of the graph to the right by 'h' units.
5.
FLASHCARD QUESTION
Front
What transformation does the term +k represent in vertex form?
Back
The term +k represents a vertical shift of the graph upwards by 'k' units.
6.
FLASHCARD QUESTION
Front
If f(x) = 2(x-3)² + 1, what is the vertex of the parabola?
Back
The vertex is (3, 1).
7.
FLASHCARD QUESTION
Front
What is the effect of a negative 'a' value in vertex form?
Back
A negative 'a' value reflects the parabola across the x-axis.
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