## Math Problem Statement

true or false. A vertical shift would affect the x-value of the vertex.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Algebra

Graph Transformations

Quadratic Equations

### Formulas

Vertex formula for quadratic equations: \( \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right) \)

Equation of a vertically shifted parabola: \( y = a(x - h)^2 + k \)

### Theorems

Vertical shifts affect the y-value of the vertex only, while the x-value remains unchanged.

### Suitable Grade Level

Grades 9-11

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