Math Problem Statement

What point on the parabola y equals 8 minus x squaredy=8−x2 is closest to the point ​(8​,8​)?

Solution

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Math Problem Analysis

Mathematical Concepts

Analytic Geometry
Distance Minimization
Parabolas

Formulas

Distance formula: D = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Parabola equation: y = 8 - x^2

Theorems

Optimization

Suitable Grade Level

Grades 10-12