Alg. 2 Ch. 4 Test (Final) Factoring Quadratics/Transformations
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What are the zeros of a quadratic function?
Back
The zeros of a quadratic function are the values of x that make the function equal to zero. They are also known as the solutions or roots of the equation.
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
3.
FLASHCARD QUESTION
Front
How do you find the zeros of a quadratic equation using factoring?
Back
To find the zeros by factoring, rewrite the quadratic in the form (x - p)(x - q) = 0, where p and q are the zeros. Then, set each factor equal to zero and solve for x.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What is the Quadratic Formula?
Back
The Quadratic Formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What does the discriminant tell you about a quadratic equation?
Back
The discriminant (b² - 4ac) indicates the nature of the roots: if > 0, there are 2 real solutions; if = 0, there is 1 real solution; if < 0, there are no real solutions.
Tags
CCSS.HSA-REI.B.4B
6.
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, found at the point (h, k) in the vertex form y = a(x - h)² + k.
7.
FLASHCARD QUESTION
Front
How do transformations affect the graph of a quadratic function?
Back
Transformations such as translations, reflections, and stretches/compressions change the position and shape of the graph of a quadratic function.
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