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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If you have a graph, I’d use it and make curved lines going down to plot the points!
Using -17 ,15
And, 15 , -13
Hope this helps!
Answer:
$1,665.19
Step-by-step explanation:
Interest=PRT/100 where P is the principal amount deposited by Michelle, R is the rate offered per year in terms of percentage, T is the period in years
Substituting P for $1385, T for 7 years, R for 2.89% we obtain interest as follows
Interest=$1,385*2.89*7 years/100=$280.1855
Balance after 7 years will be the sum of principal amount and interest gained
Balance=$1,385+$280.1855
=$1,665.1855
Rounding off to 2 decimal places
Balance=$1665.19
Therefore, Michelle's balance is $1,665.19
Answer:
-2, 5, 12, 19, 26, 33, 40, 47, 54, 61, 68, 75, 82, 89, 96, 103
