Math Problem Statement

graph

Solution

Here is the graph of the function y=x3y = \sqrt{x} - 3. The curve starts at the point (0,3)(0, -3) and follows the same shape as the basic square root function, but shifted downward by 3 units.

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Related Questions:

  1. How would the graph of y=x+23y = \sqrt{x + 2} - 3 look?
  2. What is the effect of multiplying y=xy = \sqrt{x} by a constant on the graph?
  3. How does a horizontal shift affect the graph of y=xy = \sqrt{x}?
  4. Can you describe the symmetry of the graph y=x3y = \sqrt{x} - 3?
  5. What are the intercepts of the graph y=x3y = \sqrt{x} - 3?

Tip:

When graphing functions, always check key points like intercepts and asymptotes to ensure the graph accurately represents the function's behavior.

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Math Problem Analysis

Mathematical Concepts

Functions
Square Root Function
Graphing

Formulas

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Theorems

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Suitable Grade Level

Grades 10-12