Using the ratio of perfect squares method, what is square root of 22 rounded to the nearest hundredth?
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Answer:
see below
Step-by-step explanation:
The tangent function has been shifted upward by 2 units, but there has been no horizontal scaling. Any horizontal offset must be equal to some number of whole periods.
Choices A and B show tan( )+2, the correct vertical offset. However, choice A has a horizontal scale factor of 2. The correct choice is B, which has no horizontal scaling (the coefficient of x is 1) and a horizontal offset of π, one full period.
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<em>Comment on horizontal scaling</em>
Horizontal scaling is different from vertical scaling in that using k·x in place of x <em>compresses</em> the graph horizontally by a factor of k. On the other hand, using k·f(x) in place of f(x) <em>expands</em> the graph vertically by a factor of k.
Let's first take a look at function G. From the first to second row, the x-value increases by 2, and the y-value increases by 8.
Thus, function G has a rate of change of , or 4.
In function H, there is a "2" before the "x", which means function H has a rate of change of 2.
Thus, the statement that is true is:
- Function G has a rate of change of 4, and function H has a rate of change of 2
Let me know if you need any clarifications, thanks!
~ Padoru