1. Problem: Given the graph of $y=f(x)$ with points $A, B, C, D, E$ and the transformation $g(x)=f(x)+2$, find the coordinates of the image points $A', B', C', D', E'$. 2. Explanation: The transformation $g(x) = f(x) + 2$ means that every $y$-value of the original points is increased by 2. The $x$-coordinates remain the same. 3. Suppose the original coordinates are: - $A(x_A,y_A)$ - $B(x_B,y_B)$ - $C(x_C,y_C)$ - $D(x_D,y_D)$ - $E(x_E,y_E)$ 4. Applying the transformation, the new points $A', B', C', D', E'$ are: - $A'(x_A, y_A+2)$ - $B'(x_B, y_B+2)$ - $C'(x_C, y_C+2)$ - $D'(x_D, y_D+2)$ - $E'(x_E, y_E+2)$ 5. Use the graph or data provided to extract the original points coordinates: - $A=(-6, 6)$ - $B=(-4, 4)$ - $C=(-2, 2)$ - $D=(0, 0)$ - $E=(2, -2)$ 6. Applying the vertical shift by 2: - $A' = (-6, 6+2) = (-6, 8)$ - $B' = (-4, 4+2) = (-4, 6)$ - $C' = (-2, 2+2) = (-2, 4)$ - $D' = (0, 0+2) = (0, 2)$ - $E' = (2, -2+2) = (2, 0)$ 7. Final answer: $A' = (-6,8), B' = (-4,6), C' = (-2,4), D' = (0,2), E' = (2,0)$