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Math Question for Friday, November 27th, 2015

The graph of *y* = is shown below.

Among the following, which is the best representation of *y* = ?

**F.**

**J.**

**G.**

**K.**

**H.**

## Incorrect

## Incorrect

## Incorrect

## Incorrect

## Correct!

**The correct answer is K.**

When *x* > 7, = *x* – 7, so the graph of *y* = will be identical to the graph of *y* = for all *x* > 7.
This eliminates G and J.

When *x* < 7, = –(*x* – 7), so the graph of *y* = will be the reflection about the *x*-axis of the graph of *y* = for all *x* < 7.

The graph in F is identical to the graph of *y* = for all *x*, so F can be eliminated.

The graph in H is the original graph reflected about the line *x* = 7 for *x* < 7, so H can be eliminated.

The graph in K is identical to the original graph for *x* > 7 and is the reflection about the x-axis of the original graph for *x* < 7.