a) f(x) is a quadratic function. The graph f(x) decreases on the interval (-∞, -2) and increases on the interval (-2, 0). It has a y-intercept at (0, 4). What is a possible equation for f(x)? b) Is there only one quadratic function, f(x), that has the characteristics given in part a)?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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1. a) f(x) is a quadratic function. The graph f(x) decreases on the interval (-∞, -2) and increases on the
interval (-2, 0). It has a y-intercept at (0, 4). What is a possible equation for f(x)?
b) Is there only one quadratic function, f(x), that has the characteristics given in part a)?
Transcribed Image Text:1. a) f(x) is a quadratic function. The graph f(x) decreases on the interval (-∞, -2) and increases on the interval (-2, 0). It has a y-intercept at (0, 4). What is a possible equation for f(x)? b) Is there only one quadratic function, f(x), that has the characteristics given in part a)?
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