Math Problem Statement

Use technology to find points and then graph the function y, equals, left parenthesis, x, minus, 1, right parenthesis, squared, commay=(x−1)2, following the instructions below.

Solution

To graph the function y=(x1)2y = (x - 1)^2 without a calculator, follow these steps:

  1. Identify the function form: This is a quadratic function in the form y=a(xh)2+ky = a(x - h)^2 + k, where:
    • h=1h = 1, which represents a horizontal shift to the right by 1 unit.
    • ( k = 0

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Graphing

Formulas

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

Theorems

Transformations of quadratic functions

Suitable Grade Level

Grades 9-10