Question

The graph of f(x) = 2x is shown on the grid. The graph of g(x) = ()x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?

Answer 1

The graph would be g(x) = -2x

When we reflect linear graphs over the y-axis, the y-intercept stays exactly the same. The slope then reverts to a negative form of its original. So we turn the 2 to -2 and keep the 0 for y-intercept.

This gives us g(x) = -2x

Answer 2

While the graph is not shown, it would be the graph of g(x) = -2x.

Explanation:

A reflection across the y-axis negates the x-coordinate of every point. To find the function associated with this, we would replace x with -x:

g(x) = f(-x) = 2(-x) = -2x

The function would be g(x) = -2x.