Writing Quadratic Equations in Vertex & Standard Form
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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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 identify the vertex from the vertex form of a quadratic equation?
Back
In the vertex form y = a(x - h)² + k, the vertex is the point (h, k).
3.
FLASHCARD QUESTION
Front
What does the 'a' value in the vertex form indicate about the parabola?
Back
The 'a' value indicates the direction of the parabola: if 'a' is positive, the parabola opens upward; if 'a' is negative, it opens downward.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is given by y = ax² + bx + c.
5.
FLASHCARD QUESTION
Front
How do you convert from vertex form to standard form?
Back
To convert from vertex form y = a(x - h)² + k to standard form, expand the squared term, distribute 'a', and combine like terms.
6.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic equation?
Back
The axis of symmetry is a vertical line that passes through the vertex of the parabola, given by the equation x = h.
7.
FLASHCARD QUESTION
Front
How can you determine if a parabola crosses the x-axis?
Back
A parabola crosses the x-axis if the quadratic equation has real solutions, which can be determined using the discriminant (b² - 4ac).
Tags
CCSS.HSA-REI.B.4B
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