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. g (y) = y - 7
C. f (x) = x - 7
D. f (x) = x + 7

Answer 1

To show a translation of a hexagon 7 units to the left on the coordinate grid, you need to adjust the x-coordinates of the hexagon's vertices.

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

So, the function that represents this translation would be:

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

Thus, the correct answer is:

C. f (x) = x - 7