Question

Q # 1 Graph the function
Y = |X + 2| - 3

Answer 1

do you have anymore pictures?

Answer 2

First of all we know the Absolute Value Function that is:


`\left | x \right |= \left \{ {{x \ \ \ \ x \geq 0} \atop {-x \ \ \ \ x\ \textless \ 0}} \right.`

This is called the Parent Function of the Absolute Value Function.

From the equation:


`y=\left | x+2 \right |-3`

The term:


`\left | x+2 \right |`

means that the the Parent Function is shifted two units to the left.

On the other hand, the term:


`-3`

means that the function
`\left | x+2 \right |` is shifted three units downward. So the result is the graph shown below