Unit 5 & 6 Practice #2 Quadratics & Complex

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point of the parabola represented by the quadratic function, given by the coordinates (x, y) where x = -b/(2a).
2.
FLASHCARD QUESTION
Front
How do you find the maximum height of a projectile?
Back
To find the maximum height, use the formula for the x-coordinate of the vertex, x = -b/(2a), and substitute this value into the quadratic equation to find the corresponding y-coordinate.
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a quadratic function?
Back
The y-intercept is the point where the graph of the function crosses the y-axis, which occurs when x = 0.
4.
FLASHCARD QUESTION
Front
How do you determine the time it takes for an object to reach the ground from a height?
Back
Set the height function h(t) equal to zero and solve for t.
5.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form is given by f(x) = ax^2 + bx + c, where a, b, and c are constants.
6.
FLASHCARD QUESTION
Front
What is the significance of the coefficient 'a' in a quadratic function?
Back
The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
7.
FLASHCARD QUESTION
Front
How do you find the height of a projectile at a specific time?
Back
Substitute the specific time value into the height function h(t) to calculate the height.
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