Use the function f(x)=3 sin(xπ/2)+2 to answer parts A - F. Show steps for C, D and E.
1 answer:
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Answer:
Step-by-step explanation:
Well we can start by seeing if the parabola is the same width by comparing it to its parent function ( y = x^2 )
In y = x^2 the 2nd lowest point is just up 1 and right 1 away from the vertex.
This is not true for our parabola.
So we can widen it by to the desidered width by making the x^2 into a .5x^2.
So far we’ve got y = .5x^2
Now the parabola y intercept is at -5.
So we can add a -5 into the equation making it.
y = .5x^2 - 5
Now for the x value.
So we can find the x value by seeing how far away the parabola is from from the y axis.
So the x value is -2x.
So the full equation is
Look at the image below to compare.
Given:
The given values are:
To find:
The exponential regression equation for the given values (Rounded to three decimal places).
Solution:
The general form of exponential regression equation is:
...(i)
Where, a is the initial value and b is the growth/decay factor.
We have,
Round these numbers to three decimal places.
Substitute in (i) to find the exponential regression equation.
Therefore, the correct option is C.
The answer would be seven units
