Final answer:
The y coordinate of B' after a dilation with a scale factor of 1.5 centered at the origin is 6.
Step-by-step explanation:
The y coordinate of point B' after a dilation with a scale factor of 1.5 centered at the origin can be found by multiplying the y coordinate of point B by the scale factor. Point B has a y coordinate of 4.
To get the y coordinate of B', we calculate:
- Multiply the y coordinate of B by the scale factor: 4 × 1.5
- This equals 6.
Therefore, the y coordinate of B' after the dilation is 6.