Question

Graph the function y=|x+2|-3

Answer 1

This graph the answer to your problem.

Answer 2

The graph has been attached.

Explanation:

We have to graph the function y=|x+2|-3

The parent function is y = |x|.

It is a v-shaped curve, with vertex at (0,0) as shown in the figure with dotted curve.

We use rule of transformation of graph:

• When we add a constant 'a' in x then graph shifts 'a' units left

• When we subtract a constant 'a' in function then graph shifts a units down

Now, we translate this graph 3 units down and 2 units left. Thus, the equation of the parent function becomes y=|x+2|-3. The curve is v-shaped and the vertex is at (-2,-3).

Now, we can easily graph the function y=|x+2|-3