If the table shows the equation y = x/3 ,what is the missing value? x y 21 7 15 ? 6 2 A. 6 B. 5 C. 4 D. 3
2 answers:
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Answer:
The graph of given function is shown below.
Step-by-step explanation:
The parent natural logarithmic function is
The given function is
It means
.... (1)
The translation is defined as
.... (2)
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.
On comparing (1) and (2) we get
It means the graph of parent function shifts 5 units up to get the graph of given function.
Table of values:
x y
0.25 3.614
0.5 4.307
1 5
2 5.693
Plot these points on a coordinate plane connect then by a free hand curve.
The graph of given function is shown below.
Answer:
B. 9.7 in.
Step-by-step explanation:
We have been given an image of a triangle. We are asked to find the value of x.
We will use area of triangle formula to solve our given problem.
Taking square root of both sides we will get,
Therefore, the value of x is 9.7 inches and option B is the correct choice.