Questions:
- Graph the function f(x)
= 3|x| in the red equation. Then change the blue equation to be the
function of f(x) = 3|x| + 2. Note the differences in
the two graphs. Next, change the blue equation to be f(x) =
3|x| – 2 and note the change. Write a description about the effect
of changing the value of the constant.
Answer
- Leaving the red equation alone,
change the blue equation to be f(x) = 3|x – 1 |
and note the shape of the graph. Then change the equation to be f(x)
= 3|x + 2 | . How did changing the constant within the absolute
value affect the graph?
Answer
- Let’s add another feature to the
blue equation, so that it is f(x) = 3|x + 2 |
+ 3. Note the new graph. Summarize the effect of both constants.
Answer
- Now change the blue equation to
be f(x) = 2|x + 2 | + 3 and then again to be f(x)
= 5|x + 2 | + 3. What is the effect of changing the coefficient
of the absolute value portion of the equation?
Answer
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