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# Word Problems/Quadratic Function

Question
Given the quadratic functions below, give the maximum or minimum value, the intercepts, and
state the range. Sketch each function.
a. F(x) = x2 – 1
b. F(x) = x(x+3) – 12

f(x) = x² - 1
This is the equation of a vertical parabola with vertex (0, -1). The coefficient of x² is positive, so the parabola opens upwards and the minimum value is -1. The range is [-1, ∞).

The y-intercept is the value of f(0) = -1.

The x-intercepts are the values of x for which f(x) = 0.
x² - 1 = 0
x = ±1

Word Problems

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#### Janet Yang

##### Expertise

Word problems are my favorite type of math questions! I would not feel comfortable answering questions that require specialized knowledge (Physics, Statistics, etc.) because I have not studied these in depth.

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I tutor students (fifth through twelfth grades) and am a Top Contributor on Yahoo!Answers with over 24,000 math solutions.

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Co-author of An Outline of Scientific Writing: For Researchers With English as a Foreign Language.

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I have a Bachelor's degree in Applied Mathematics from the University of California at Berkeley, and a Master of Business Administration degree from The Wharton School.

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George White Elementary School. Homework Help program at the Ridgewood Public Library, Ridgewood, NJ. Individual students.