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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The first test was 68 points
Answer:
<h2>x = -0.5</h2>
Step-by-step explanation:
For this case we are asked the following question:
"What is the volume of the rubick's cube whose edge measures 3 cm"
By definition, the volume of a cube is given by:
Where:
l: Is the side or the edge of the cube
According to the statement we have:
Substituting:
Finally, the volume of the cube is 
Answer:
The sales tax rate is 5%.
Step-by-step explanation:
Given,
Sales tax for an item = $24.50
Cost of item before tax = $490
Sales tax rate = 
The sales tax rate is 5%.
Keywords: sales tax, percentage
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