Question

13/22
what is the correct graph for the equation x² + y² = 4?
the correct answer is not provided.

Explanation:

Step1: Recall the standard equation of a circle

The standard equation of a circle is \((x - a)^2+(y - b)^2=r^2\), where \((a,b)\) is the center and \(r\) is the radius.

Step2: Analyze the given equation

For the equation \(x^2 + y^2=4\), we can rewrite it as \((x - 0)^2+(y - 0)^2 = 2^2\). So the center is \((0,0)\) and the radius \(r = 2\).

Answer:

The graph should be a circle centered at the origin \((0,0)\) with radius \(2\). If among the given options (assuming the first option is a circle centered at origin with radius \(2\) - since no labels on options but based on standard form analysis), the first - looking - like circle (centered at origin with appropriate radius) is the answer.