is is 169.47058823 yes this the anser
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 average temperature of coffee in the sample, which is 70.2.
Step-by-step explanation:
The population is all the costumers. The company has determined that they want the average coffee temperature to be 65 degrees C. So, 65 degrees C is the average of the population.
The sample is the 20 orders. The mean
of the sample is 70.2C(That is, the mean of the 20 orders0. So, the correct answer is:
The average temperature of coffee in the sample, which is 70.2.
Answer: -15yx^2
Step-by-step explanation:
-12x^2 * y -3x^2 * y=
-12(x^2 * y)-3(x^2 * y)=
(-12-3)(x^2 * y)=
-15x^2 * y=-15yx^2