Horizontal translation of the graph of a function is accomplished by replacing x with (x-h) for translation h units to the right. Vertical translation of the graph is accomplished by adding the amount of translation to the function value: f(x)+k translates the graph k units upward.
Reflection of a function over the x-axis is accomplished by changing the sign of every function value: -f(x).
<h3>Application</h3>
We observe that f(x) has been transformed by ...
multiplying by -1 to get -f(x)
replacing x with (x -2) to get -f(x -2)
adding -3 to the function value to get -f(x -2) -3
The effect of these transformations is (correspondingly) ...
reflection over the x-axis
translate right 2 units
translate down 3 units
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The attached graph shows a function f(x) (red) and the transformed function (blue).
there for at 8 hikes with either deal it would be the same but if you went up a number of hikes for the first option it would only be $43.00 spent in total. but with the second option it would be $45.00.
Solve scale drawing problems Learn with flashcards, games, and more — for free. ... A plum tree is 7 inches tall on the scale drawing. What is ... The scale factor is 1/20. ... Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 315 inches and the scale is 1:90?