Ella draws a hexagon on the coordinate grid and shifts it 7 units to the left. Use a function to show the translation. What functions does Ella write?

Question

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

Answer 1

To determine the function that describes shifting a shape on the coordinate grid 7 units to the left, we need to understand how translations work in the coordinate plane.

When we translate a point (x, y) horizontally, a shift to the left means we subtract from the x-coordinate because the x-values decrease. Specifically, if we want to shift left by 7 units, the new x-coordinate becomes \(x - 7\). The y-coordinate remains unchanged.

Thus, the function that describes this transformation can be represented as:

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

This means that the correct answer from the provided options for the translation of the hexagon 7 units to the left is:

d. f(x) = x - 7.