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) ?

Question

Mathematics

Grumpy

1 March, 20:23

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) ?

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Gregory Hess · 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