4.7 Flashcard review
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on its orientation. For example, the vertex of the parabola represented by the equation y = x^2 is (0,0).
2.
FLASHCARD QUESTION
Front
What is the equation for the axis of symmetry of a parabola?
Back
The axis of symmetry of a parabola is a vertical line that divides the parabola into two mirror-image halves. It can be expressed as x = h, where (h,k) is the vertex of the parabola.
3.
FLASHCARD QUESTION
Front
What is the green dashed line in a parabola called?
Back
The green dashed line is called the line of symmetry, which is the axis of symmetry for the parabola.
4.
FLASHCARD QUESTION
Front
What is the vertex form of a parabola?
Back
The vertex form of a parabola is given by the equation f(x) = a(x-h)^2 + k, where (h,k) is the vertex of the parabola.
5.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function in standard form?
Back
To find the vertex of a quadratic function in standard form y = ax^2 + bx + c, use the formula h = -b/(2a) and then substitute h back into the equation to find k.
6.
FLASHCARD QUESTION
Front
What are the roots or x-intercepts of a parabola?
Back
The roots or x-intercepts of a parabola are the points where the graph intersects the x-axis, found by solving the equation y = 0.
7.
FLASHCARD QUESTION
Front
What is the significance of the coefficient 'a' in the quadratic equation?
Back
The coefficient 'a' determines the direction of the parabola's opening: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
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