Question

plot the image of point b under a dilation about the origin (0, 0) with a scale factor of 4.

Explanation:

Step1: Identify coordinates of B

Point B is at (1, 1) (from graph: x=1, y=1).

Step2: Apply dilation formula

Dilation about origin: \((x,y) \to (k x, k y)\), \(k = 4\).
So, new x: \(1 \times 4 = 4\), new y: \(1 \times 4 = 4\).
Image of B is (4, 4). Plot at (4, 4) on grid.

Answer:

The image of point B is at (4, 4) (plot the point with x - coordinate 4 and y - coordinate 4 on the coordinate plane).