Question

graph the image of square bcde after a dilation with a scale factor of 3, centered at the origin.

Explanation:

Step1: Find the coordinates of the original square

The coordinates of square \( BCDE \) are \( B(-3,-3) \), \( C(3,-3) \), \( D(3,3) \), \( E(-3,3) \).

Step2: Apply the dilation formula

The formula for dilation centered at the origin with scale factor \( k \) is \( (x,y)\to(kx,ky) \). Here \( k = 3 \).
For point \( B(-3,-3) \): \( ( - 3\times3,-3\times3)=(-9,-9) \).
For point \( C(3,-3) \): \( (3\times3,-3\times3)=(9,-9) \).
For point \( D(3,3) \): \( (3\times3,3\times3)=(9,9) \).
For point \( E(-3,3) \): \( (-3\times3,3\times3)=(-9,9) \).

Step3: Plot the new points

Plot the points \( (-9,-9) \), \( (9,-9) \), \( (9,9) \), \( (-9,9) \) and connect them to form the dilated square.

Answer:

The coordinates of the dilated square are \( (-9,-9) \), \( (9,-9) \), \( (9,9) \), \( (-9,9) \). Plot these points on the coordinate - plane and connect them.