unit 4 flashcard 4
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the factored form of a quadratic function?
Back
The factored form of a quadratic function is expressed as f(x) = a(x - r1)(x - r2), where r1 and r2 are the roots of the function.
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
2.
FLASHCARD QUESTION
Front
How do you convert a quadratic function to standard form?
Back
To convert a quadratic function to standard form, you can factor the quadratic expression into the form f(x) = (x - p)(x - q), where p and q are the x-intercepts.
3.
FLASHCARD QUESTION
Front
What are the solutions of the equation 7x^2 - 26x - 8 = 0?
Back
The solutions are x = 4 and x = -\frac{2}{7}.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
How do you find the x-intercepts of a function?
Back
To find the x-intercepts of a function, set f(x) = 0 and solve for x.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror images, given by the formula x = -\frac{b}{2a} for a quadratic in the form ax^2 + bx + c.
6.
FLASHCARD QUESTION
Front
What does the vertex of a parabola represent?
Back
The vertex of a parabola represents the highest or lowest point of the graph, depending on whether it opens upwards or downwards.
7.
FLASHCARD QUESTION
Front
What is the significance of the leading coefficient in a quadratic function?
Back
The leading coefficient determines the direction of the parabola: if it is positive, the parabola opens upwards; if negative, it opens downwards.
Tags
CCSS.HSF-IF.C.7A
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