Question

translations as functions quick check
ella draws a hexagon on the coordinate grid and shifts it 7 units to the left. use a function to show the translation. what function does ella write? (1 point)
○ (f(x)=x)
○ (f(x)=x - 7)
○ (g(y)=y - 7)
○ (f(x)=x + 7)

Explanation:

Step1: Recall translation rule for x - coordinates

In a coordinate - grid, a left - right translation affects the x - coordinate of each point. Shifting a figure to the left means subtracting a value from the x - coordinate of each point.

Step2: Write the function

If we consider a point (x,y) on the hexagon, to shift it 7 units to the left, we subtract 7 from the x - coordinate. The function for the x - coordinate translation is \(f(x)=x - 7\). The variable y is not affected by a horizontal shift.

Answer:

\(f(x)=x - 7\)