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.
Learn more about Transforming functions:
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Answer:
The greatest common factor is 10
Step-by-step explanation:
Once you factor it out, you have :
10(x^2+5)
Answer:
the answer is below frum ed
Step-by-step explanation:
y= -6
Y= -4
Y= -3
Y= 0
The answer is: 15 .
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{Note: If this is a physics problem ; and the formula: "F = m*a" is for:
"Force = mass * acceleration" ; be sure that the correct units are used!}.
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Explanation:
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F = m * a ;
Given m = 5 ;
a = 3 ;
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F = 5 * 3 = 15 .
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