Given the points (-3,4), (-1,5), (5,10) and (7,11) of a parallelogram. What transformation would translate the parallelogram so
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Answer:
Step-by-step explanation:
We are given the two functions:
And that:
With the given conditions that (1, -40) and (-1, 24) satisfy the new function, we want to determine functions <em>f</em> and <em>g</em>.
First, find <em>h: </em>
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Because (1, -40) and (-1, 24) are points on the graph of <em>h</em>, we have that h(-1) = 40 and h(-1) = 24. In other words:
And:
Solve the system of equations. Adding the two equations together yield:
Solve for either <em>m</em> or <em>n: </em>
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Substitute this into one of the two equations above and solve:
Therefore:
Solve for <em>m: </em>
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Hence, the values of <em>n</em> and <em>m</em> are either: 2 and 2, respectively; or 1 and 0, respectively.
In conclusion, functions <em>f</em> and <em>g</em> are: