How do you graph # f(x) = |x| + |x + 2| #?
Please read the explanation.
We need to graph this absolute value function.
We will assign the values for
To find the corresponding
Please look at the table of values that contains all values for
The corresponding graph is given below:
For the parent function
Vertex is at
Vertex is the minimum point on the graph.
Axis of Symmetry is at
A translation is a transformation that shifts a graph horizontally or vertically, but does not change the orientation of the graph.
Please refer to the graph to observe the following:
Domain of the function
Range of the function
Extreme Points are none for
Critical points are points where the function is defined and its derivative is zero or undefined.
Critical Points are at
X and Y Intercepts:
x-axis interception points of
y-axis interception points of
The graph of
has shifted up (a.k.a. Vertical Translation) by two units comparing to the graph of the parent function