Math Problem Statement

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Part 1

Find the quadratic function whose graph is shown to the right. Write the function in the form

f left parenthesis x right parenthesis equals a left parenthesis x minus h right parenthesis squared plus kf(x)=a(x−h)2+k.

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Vertex Form of Quadratics

Formulas

f(x) = a(x - h)^2 + k
Substitute known points to find the value of 'a'

Theorems

Vertex Theorem for Quadratic Functions

Suitable Grade Level

Grades 9-12