Which of the following is the same as 8.4 × 102 ? a. 840 b. 84 c. 8,400 d. .84
2 answers:
Answer: The correct option is (a). 840.
Step-by-step explanation: We are given to select the number that is equivalent to the following decimal number :
We know that
10 to the power positive number n means there are n zeroes after the digit 1.
Therefore, for the given decimal number, we get
Thus, the required same number is 840.
Option (a) is CORRECT.
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Given:
The parent absolute function is
To find:
The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.
Solution:
The translation is defined as
.... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
Parent function is translated up by 5 units. So, b=5
It is vertically stretched by a factor of 3. So, k=3.
There is no horizontal shift. So, a=0.
Now, putting k=3, a=0 and b=5 in (1), we get
Therefore, the correct option is D.