Parts of a Parabola

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•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the roots of a parabola?
Back
The roots of a parabola are the x-values where the parabola intersects the x-axis. For example, in the equation y = (x-0)(x-4), the roots are 0 and 4.
Tags
CCSS.HSF-IF.C.7A
2.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a parabola?
Back
The axis of symmetry is a vertical line that divides the parabola into two equal halves. It passes through the vertex of the parabola.
3.
FLASHCARD QUESTION
Front
Where is the vertex of a parabola located?
Back
The vertex is the highest or lowest point of the parabola, depending on its orientation. For example, in the vertex form y = a(x-h)² + k, the vertex is at the point (h, k).
4.
FLASHCARD QUESTION
Front
What are the solutions of a quadratic equation?
Back
The solutions of a quadratic equation are the values of x that make the equation equal to zero. They can be found using factoring, completing the square, or the quadratic formula.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What is the y-intercept of a parabola?
Back
The y-intercept is the point where the parabola intersects the y-axis. It can be found by setting x = 0 in the equation of the parabola.
Tags
CCSS.HSF-IF.C.7A
6.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola given its equation in standard form?
Back
For a parabola in standard form y = ax² + bx + c, the vertex can be found using the formula x = -b/(2a) and then substituting this x-value back into the equation to find the y-coordinate.
7.
FLASHCARD QUESTION
Front
What does the term 'concave up' mean in relation to a parabola?
Back
A parabola is concave up if it opens upwards, meaning the vertex is the minimum point. This occurs when the coefficient 'a' in the equation y = ax² + bx + c is positive.
Tags
CCSS.HSF-IF.C.7A
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