SOLUTION: Find the equation you get when you move the unit circle up 3 units and left 5 units

Algebra.Com
Question 52222: Find the equation you get when you move the unit circle up 3 units and left 5 units

Found 2 solutions by funmath, AnlytcPhil:
Answer by funmath(2933)   (Show Source): 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

Answer by AnlytcPhil(1807)   (Show Source): You can put this solution on YOUR website!

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

RELATED QUESTIONS

here ar my neices questions? I have also included my answers unsure if i did them right. (answered by mananth)
The graph of xsquare unit +y square unit =9 is translated 4 units to hte right and 5... (answered by consc198)
what is the equation of y^2= 1/5x when translated up 3 units and left 2... (answered by lwsshak3)
g(x)=/x+3/+5 is the graph of f(x)=/x/ shifted (1)3 units left, 5 units up (2) 3 units... (answered by jsmallt9)
If you move 7 units up along the y-axis from (–3, –13), which point will you end up at? (answered by ReadingBoosters)
If the parent function is y=1/x, describe the change in the equation y=1/(x+3) + 1/2.... (answered by fcabanski)
Which point will be the result, when we start at the origin and move 15 units to the left (answered by checkley71,Prithwis)
If it costs $12,000 to start up a business and you get $7.20 per unit for a unit that... (answered by jim_thompson5910)
Given circle A with the equation (x+2)^2+y^2=5 a)show that the circle passes through... (answered by josgarithmetic)