The transformation of a function may involve any change. The correct option is D.
<h3>How does the transformation of a function happen?</h3>
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
- Left shift by c units, y=f(x+c) (same output, but c units earlier)
- Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
- Up by d units: y = f(x) + d
- Down by d units: y = f(x) - d
Stretching:
- Vertical stretch by a factor k: y = k \times f(x)
- Horizontal stretch by a factor k: y = f(\dfrac{x}{k})
Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.
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Answer:
Given that a parallelogram ABCD has sides AB= 6 ft and AX = 3√3
Angle A =30
To find the area of the parallelogram
We have area of parallelogram = base x height
Here base can be taken as side AB = 6 ft
Height = perpendicular distance of AB from vertex X
= AX sin A
= 3√3sin30
=1.5√3
Hence area =6(1.5√3)=9√3ft^2
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Step-by-step explanation:
Answer:
1056.24 cm^3
Step-by-step explanation:
The volume of a cylinder is 
. The problem says to use 
=3.14
Plug in your numbers 
