Tan A = BC/AB = 15/8
answer is B. 15/8
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:
Step-by-step explanation:
Given that bottle was half full at 11.35 a.m. and full at 11.40 a.m.
This implies it takes 5 minutes for the liquid to double.
This is confirmed by the statement that before 5 minutes i.e. at 11.30 the bottle was only 1/4 full.
Hence true statements would be:
1) The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
2) The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes. The bottle was 1/2 full at 11:35 a.m.
3) Exponential growth involves a constant multiplicative rate of change.
(The rate cannot be additional as we get 2 times every 5 minutes)
Answer:
The correct answer is the associative property of addition.
Step-by-step explanation:
This property states that no matter which way we group things when adding, they will still create the same outcome. Since all of the symbols are addition, the answer is the same.
