Math Problem Statement

Find an expression for the function whose graph is the given curve.

The bottom half of the parabola x + (y − 4)2 = 0

Solution

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Parabolas
Quadratic Functions

Formulas

Standard form of a parabola (y - k)^2 = 4p(x - h) for horizontal parabolas

Theorems

Properties of Parabolas
Completing the Square

Suitable Grade Level

Grades 10-12