Select the table that represents a linear function. (Graph them if necessary.) O A. x 0 1 2 3 y 3 2 0 1 B. X 0 1 2 3 y 612 18 24
O c. xo 1 2 3 y 117 5 4 O D. x 0 1 2 3 y 0 0 -1 -2
1 answer:
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Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
Answer: 3 mi/h
Step-by-step explanation:
Here we have to find the speed at which Sarah walks to school, knowing the distance
she has walked and the time
she expends.
So, in this case we can use the following equation:
Where:
Solving:
This is Sarah's speed