Writing Quadratic Equations in Vertex & Standard Form

Flashcard
•
Mathematics
•
8th - 10th 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.
3.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic equation indicate?
Back
The 'a' value 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
4.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a quadratic function?
Back
The vertex represents the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.
5.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = h, where (h, k) is the vertex.
6.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a quadratic equation?
Back
The y-intercept can be found by evaluating the equation at x = 0, which gives the point (0, c) in the standard form y = ax² + bx + c.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
What are the x-intercepts of a quadratic function?
Back
The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, found by solving the equation y = 0.
Tags
CCSS.HSF-IF.C.7A
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