point C (4, -3) is translated left 3 and up 5 and is then dilated by a scale factor of 4. What are the coordinates of C'?

(4, 8)

Step-by-step explanation:

When you translate something to the left you need to subtract the amount you moved left from the original x input

1. Subtract 3 from the coordinates x input

4 - 3 = 1

When you translate something up you need to add the amount you moved up to the original y output

2. Add 5 to the coordinates y output

-3 + 5 = 2

When done translating to the left and up your coordinate is now (1, 2)

When dialating something you need to multiply the scale factor in which you dialated the coordinate to both the x input and y output

3. Multiply 4 to the x input and y output of your newley translated coordinate

1 × 4 = 4 (x input)

2 × 4 = 8 (y output)

So now your final coordinate for C' is (4, 8)!

Hope this helps :)