A quadratic function is a second-degree polynomial function...

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Chapter 1 / Exercise 33
Precalculus: Mathematics for Calculus
Redlin/Stewart
Expert Verified
Section 8.2 Quadratic Functions and Their Graphs Definition Quadratic Function A quadratic function is a second-degree polynomial function of the form where a , b, and c are real numbers and . Every quadratic function has a “u - shaped” graph called a parabola. Objective 1: Identify the characteristics of a quadratic function from its graph A parabola either opens up or opens down depending on the leading coefficient, . If , as in Figure 1a, the parabola will “open up.” If , as in Figure 1b, the parabola will “open down.” If , the graph will be narrower than the graph of If , the graph will be wider than the graph of 8.2.1 Without graphing, determine if the graph of the quadratic function opens up or down. Also determine if the graph will be wider or narrower than the graph of Five basic characteristics of a parabola: 1. Vertex 2. Axis of symmetry 3. y -intercept 4. x -intercept(s) or real zeros 5. Domain and range , .
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Chapter 1 / Exercise 33
Precalculus: Mathematics for Calculus
Redlin/Stewart
Expert Verified
8.2.5 Use the given graph of a quadratic function to find a. Vertex b. Axis of symmetry c. y-intercept d. x-intercept(s) e. Domain and range Objective 2: Graph quadratic functions by using translations In mathematics, a translation