What transformation of the parent function f(x) is made to get −f(x−2)−3?
1 answer:
Answer:
- reflection over the x-axis
- translate right 2 units
- translate down 3 units
Step-by-step explanation:
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).
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Answer:
Step-by-step explanation:
- Assignment: Find area of rectangle without triangle
Area of whole rectangle including triangle: 66 Feet
(6 * 11 = 66)
Area of Triangle:
Height: 3
Base: 6 (Solved by using this: (11 - 2 + 3))
Half of base: 3
3 * 3 = 9
66 - 9 = 57