
Review Quadratics 4B
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the average rate of change of a function f(x) from x=a to x=b?
Back
The average rate of change of a function f(x) from x=a to x=b is given by the formula: \( \frac{f(b) - f(a)}{b - a} \).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function in the form y=a(x-h)^2+k?
Back
The vertex of the quadratic function y=a(x-h)^2+k is the point (h, k).
3.
FLASHCARD QUESTION
Front
What are the x-intercepts of a quadratic function?
Back
The x-intercepts of a quadratic function are the points where the graph intersects the x-axis, also known as the zeros of the function.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
How do you find the average rate of change of f(x)=2x^2+3x-1 from x=1 to x=2?
Back
To find the average rate of change, calculate: \( \frac{f(2) - f(1)}{2 - 1} \). For this function, it equals 9.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
FLASHCARD QUESTION
Front
What transformation occurs when a graph is reflected over the x-axis?
Back
When a graph is reflected over the x-axis, the y-coordinates of all points on the graph are multiplied by -1.
Tags
CCSS.HSF.BF.B.3
6.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is: \( ax^2 + bx + c = 0 \), where a, b, and c are constants.
7.
FLASHCARD QUESTION
Front
What does the 'a' value in the quadratic equation y=ax^2+bx+c determine?
Back
The 'a' value determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.
Tags
CCSS.HSF-IF.C.7A
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