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?(1 point)
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 minus 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

Answer 1

When Ella shifts the hexagon 7 units to the left, we need to modify the x-coordinates of the points of the hexagon. To shift a point to the left by 7 units, we subtract 7 from the x-coordinate.

Therefore, the correct function that Ella would write for this translation would be:

**f(x) = x - 7**

This means that for any x-coordinate of the hexagon, the new x-coordinate after translation will be found by subtracting 7.

So, the correct response is:
**f(x) = x - 7**