If triangle DEF is dilated by a scale factor of 1/2 with center of dilation at the origin (0,0), what is the x-coordinate of E'?
Please help 20 points

(4,2)

Step-by-step explanation:

I am not able to see your screen well but these are the points that I saw in the beginning for E. 8,4. Your x value is either left or right and your y value is up and down. I saw 8 units right and 4 u it's up. Now your scale factor is 1/2. Remember if the scale factor is less than one the figure reduces. Our rule for dilations is (x,y) → (kx,ky). The scale factor is represented by K. Since your scale factor is 1/2 we know our triangle will reduce. Let's plug 1/2 in our x and y valued.

So E is (8,4). 8*1/2 is 4 and 4* 1/2 is 2. Are new points are E' (4,2).

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

question:

could we have options?