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77julia77 [94]
3 years ago
12

Use the function f(x)=3 sin⁡(xπ/2)+2 to answer parts A - F. Show steps for C, D and E.

Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0
And the steps???????
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Please answer this ASAP. The question is down below. Thank you!
Sonja [21]

Answer:

y = .5x^2 -2x -5

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 y = .5x^2 -2x -5

Look at the image below to compare.

7 0
3 years ago
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What is the equation of exponential regression equation? Round all numbers you your answer to three decimal places
ExtremeBDS [4]

Given:

The given values are:

a=0.2094539899

b=2.507467975

r^2=0.9435996398

r=0.9713905701

To find:

The exponential regression equation for the given values (Rounded to three decimal places).

Solution:

The general form of exponential regression equation is:

y=a\cdot b^x          ...(i)

Where, a is the initial value and b is the growth/decay factor.

We have,

a=0.2094539899

b=2.507467975

Round these numbers to three decimal places.

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b\approx 2.507

Substitute a=0.209, b=2.507 in (i) to find the exponential regression equation.

\hat{y}=0.209\cdot 2.507^x

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