Use the drop down menus to find the phase shift. v=2cos(x-1) +3
The function is shifted
The phase shift of this function is unit(s).
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wallsdeandre25521

26.10.2022

Mathematics

$\left ( x+5 \right )^{2}+\left ( y-6 \right )^{2}= 9$

Step-by-step explanation:

The power station is located 5 miles west and 6 miles north of the center of town. So if we try to locate the above points on a Cartesian plane. The co-ordinates of these points will be (-5,6).

And it is also mentioned that a power outage affected all homes and businesses within a 3 mile radius of the power station. So if we plot all the furthest points from the station affected by the power outage it will be a circle of radius 3 miles and center at (-5,6).

The equation of a circle with center (a,b) and radius r is given by :

$\left ( x-a \right )^{2}+\left ( y-b \right )^{2}= r^{2}$

Hence the equation of the resulting circle will be: $\left ( x+5 \right )^{2}+\left ( y-6 \right )^{2}= 3^{2}$

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Use the drop down menus to find the phase shift. v=2cos(x-1) +3 The function is shifted The phase shift of this function is unit(s). V