You can put this solution on YOUR website! A unit circle is a circle with a center at the origin (0,0) and a radius of 1.
The equation of a circle in standard form is:
(x-h)^2+(y-k)^2=r^2 with the center at the coordinate (h,k) and a radius of r.
so the equation of a unit cicle before you simplify it is:
(x-0)^2+(y-0)^2=1^2
If you move from the center up (+y direction) 3 and left (-x direction) 5, your new center would be the coordinate (-5,3). Therefore, the new equation would be:
(x-(-5))^2+(y-3)^2=1^2
(x+5)^2+(y-3)^2=1
Find the equation you get when you move
the unit circle up 3 units and left 5
units
Rules:
1. To move any graph RIGHT h units, we
replace x by (x - h) in its equation.
2. To move any graph LEFT h units, we
replace x by (x + h) in its equation.
3. To move any graph UP k units we,
replace y by (y - k) in its equation.
4. To move any graph DOWN k units, we
replace y by (y + k) in its equation.
The unit circle has equation
x² + y² = 1
and its graph looks like this:
So to move its graph up 3 units,
we replace y by (y - 3) in that
equation and get this new equation:
x² + (y - 3)² = 1
which has this graph
Then to further move it 5 units left,
we replace x by (x + 5) in that
equation and get this new equation:
(x + 5)² + (y - 3)² = 1
which has this graph:
Edwin
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