Question

Who can explain to me this graph please

Answer 1

• F'(-10, 6)
• G'(10, 6)
• H'(-10, -10)

Explanation:

In this problem, we are dilating (stretching) a triangle with a scale factor of 2, centered at the origin (0, 0).

Because the dilation is centered at (0, 0), we can simply double (multiply by 2) the coordinates of each of the triangles vertices, which are:

• F(-5, 3)
• G(5, 3)
• H(-5, -5)

↓ doubling each x- and y-coordinate

• F'(-10, 6)
• G'(10, 6)
• H'(-10, -10)

Further Note

Had the dilation point not been the origin, we would have had to find the displacement vectors of each of the vertices' coordinates, and multiply those by the scale factor. However, since the origin is at x = 0 and y = 0, the displacement vector is the same as its coordinate pair.