Question

Sketch the graph of

${\left(x-2\right)}^2+{\left(y-5\right)}^2\le 9$

Short answer

The required graph is:

Step-by-step solution

Step-1 – Given

The given inequality is${\left(x-2\right)}^2+{\left(y-5\right)}^2\le 9$

Step-2 – To determine

We have to graph the function.

Step-3 – Calculation 

We will sketch the graph using a graphing utility.

Step 1: Press WINDOW button in order to access the Window editor.

Step 2: Press $\boxed{\text{Y=}}$button.

Step 3: Enter the given expression${\left(x-2\right)}^2+{\left(y-5\right)}^2\le 9$

Step 4: Press the GRAPH button. Then try to adjust the window according to the graph.

The obtained graph is:

From the graph, we see that the center is (2, 5) and the radius is 3.