Algebra 1 State Test Prep

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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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, depending on its orientation. It represents the maximum or minimum value of the function.
2.
FLASHCARD QUESTION
Front
How do you find the maximum height of a projectile modeled by a quadratic equation?
Back
Use the formula t = -b/(2a) from the standard form h = at^2 + bt + c, where 'a' and 'b' are coefficients from the equation.
3.
FLASHCARD QUESTION
Front
What is the range of a quadratic function that opens downwards?
Back
The range is all real numbers less than or equal to the y-coordinate of the vertex.
4.
FLASHCARD QUESTION
Front
How do you factor a quadratic equation of the form x^2 + bx + c?
Back
Look for two numbers that multiply to 'c' and add to 'b'. These numbers can be used to express the quadratic as (x + m)(x + n) where m and n are the two numbers.
5.
FLASHCARD QUESTION
Front
What is the relationship between the coefficients of a quadratic function and its graph?
Back
The coefficients determine the shape, direction, and position of the parabola on the graph.
6.
FLASHCARD QUESTION
Front
What does it mean for a function to be in vertex form?
Back
A quadratic function is in vertex form if it is expressed as f(x) = a(x - h)^2 + k, where (h, k) is the vertex.
7.
FLASHCARD QUESTION
Front
How do you determine the x-intercepts of a quadratic function?
Back
Set the function equal to zero and solve for x using factoring, completing the square, or the quadratic formula.
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