Question

If k is -5,3 is dilated with a scale factor of 4, centered at -8,5, what are the coordinates of K

Answer 1

The coordinates of the point K after being dilated with a scale factor of 4, centered at (-8,5), are (-3,4).

Step-by-step explanation:

The coordinates of the point K after being dilated by a scale factor of 4, centered at (-8,5), can be found using the formula:

K' = (h + (x - h) * sf , k + (y - k) * sf)

where:

1. K' is the dilated point
2. (h, k) is the center of dilation
3. (x, y) are the original coordinates
4. sf is the scale factor

Plugging in the values we have:

K' = (-8 + (-5 - (-8)) * 4 , 5 + (3 - 5) * 4)

K' = (-8 + 3 * 4 , 5 + (-2) * 4)

K' = (-8 + 12 , 5 - 8)

K' = (4 , -3)

Therefore, the coordinates of K after being dilated are (-3,4).