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

a. f (x) = x
b. f (x) = x - 7
c. g (y) = y - 7
d. f (x) = x + 7

Answer 1

To represent a translation of a hexagon 7 units to the left on the coordinate grid, we need to adjust the x-coordinates of the points that define the hexagon. Shifting to the left means we need to subtract from the x-coordinates.

The correct function for this translation would modify the x-coordinate as follows:

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

This means for any point (x, y) on the hexagon, after translation, the new point will be \((x - 7, y)\).

Thus, the correct answer is:

b. f(x) = x - 7