Math Problem Statement

a quadratic parent function is vertically compressed by two thirds, reflected across x axis, translated left by 3 and up 7, write the equation in vertex form. give me only the answer

Solution

The equation in vertex form is:

y=23(x+3)2+7y = -\frac{2}{3}(x + 3)^2 + 7

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Transformations of Functions

Formulas

Vertex form of a quadratic equation: y = a(x-h)^2 + k

Theorems

Properties of quadratic transformations

Suitable Grade Level

Grades 8-10