Help me find the rate of change
1 answer:
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Answer: OPTION C
Step-by-step explanation:
There are some transformations for a function f(x). Some of them are shown below:
1. If , the function is shifted up "k" units.
2. If , the function is shifted down "k" units.
3. If , the function is shifted left "k" units.
4. If , the function is shifted right "k" units.
In this case you know that the function "g" is the transformation of the function "f".
Observe that the function "f" intersects the y-axis at:
And the function "g" intersects the y-axis at:
Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".
Then, the rule that shows that transformation is:
Explanation
Let's first graph the elements:
Using the distance formula we get:
