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?

Question

g(y)=y−7
g left parenthesis y right parenthesis equals y minuus 7

f(x)=x+7
f left parenthesis x right parenthesis equals x plus 7

f(x)=x
f left parenthesis x right parenthesis equals x

f(x)=x−7

Answer 1

To represent a shift of a hexagon (or any shape) 7 units to the left on a coordinate grid, we need to modify the x-coordinates of the shape's vertices. When shifting left, we subtract from the x-coordinate.

If we denote a point on the coordinate grid as \((x, y)\), shifting it 7 units to the left can be represented by the function:

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

This function decreases the x-coordinate of any point by 7, effectively translating all points of the shape 7 units to the left.

So the correct function that Ella would write is:

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