Question

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?
𝑓(𝑥)=𝑥−7

g(y)=y−7
𝑔(𝑦)=𝑦−7



𝑓(𝑥)=𝑥+7

f(x)=x

Answer 1

f(x) = x − 7

(Or as a point-mapping: (x,y) → (x − 7, y).)

Subtracting 7 from the x-coordinate shifts the figure 7 units left; the y-coordinate stays the same.