Question

Help pleasee??

The point (x,6) is reflected across the y-axis, translated 2 units right and 4 units down, then dilated by a factor of 2. The point is now located at (8,4) what is x?

Answer 1

x = - 2

Explanation:

Reflection across the y-axis:

( x , 6 ) ------> ( - x , 6 )

Translation 2 units right and 4 units down:

( - x , 6 ) -------> ( - x + 2 , 6 - 4 ) = ( - x + 2 , 2 )

Dilation by a factor of 2:

( - x + 2 , 2 ) ------> ( ( - x + 2 ) × 2 , 2 × 2 ) = ( 8 , 4 ) ⇒

( - x + 2 ) × 2 = 8

- 2x + 4 = 8

- 2x = 4

x = - 2