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)

Question

Responses

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−7
f left parenthesis x right parenthesis equals x minus 7

f(x)=x

Answer 1

To represent the translation of a hexagon 7 units to the left on the coordinate grid, we need a function that decreases the x-coordinates of the points of the hexagon by 7 units.

When we shift a point (x, y) to the left by 7 units, the new x-coordinate becomes (x - 7), while the y-coordinate remains unchanged.

Therefore, the function that represents this translation can be expressed as:

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

This accounts for moving the hexagon 7 units to the left.

So, the correct response is:

f(x) = x - 7