Q. 26 - Geometry

Question

Sketch the graph of 

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

Step-by-Step Solution

Answer

The required graph is:

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.