Answer:
The equation to represent g(x) will be 
Step-by-step explanation:
Considering the logarithmic function

As we know that when a constant c gets added to the parent function, the result would be a vertical shift c units in the direction of the sign of c.
So,
is basically the shift up by 4 units, and the graph also showing the same situation.
Therefore, the equation to represent g(x) will be 
Also, the graphs of both
and
is attached where black mark graph represents
and red mark graph represents
.
Keywords: transformation, vertical shift, graph
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Answer:
12
Step-by-step explanation: 18/3=6 6(2)= 12
Answer:
Step-by-step explanation:
Given is the graph bell shaped.
We have to find the variance of the data
We see that the graph looks like a normal distribution curve symmetrical about x=19
Hence mean =19
Since we know maximum area covered within 3 std deviations on either side of mean, we can calculate 6 sigma value from the graph
Extreme left x value = 14 and right = 24
Hence 6 times std dev =24-14 =10
So std deviation = 10/6 =5/3
Variance = 25/9
Its (1,-3) simply reflect it above the y-axis, if one vertex is on the negative side and the symmetry if about the y axis (y=0) therefore the reflection means the x value becomes inverse -1 changes to 1 and -3 remains the same
Answer:
-11
Step-by-step explanation: