Math Problem Statement

Sketch the graph of the pair of functions. Use a dashed line for g(x).

f(x) = x2 , g(x) = - (1/4)(x + 3)2 + 4

Solution

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Math Problem Analysis

Mathematical Concepts

Quadratic Functions
Graphing Parabolas
Transformations of Functions

Formulas

f(x) = x^2
g(x) = -\frac{1}{4}(x + 3)^2 + 4

Theorems

Vertex form of a quadratic function

Suitable Grade Level

Grades 9-11