(x-3)^2+(y-2.5)^2=7.25
Make a new equation that shifts up 1 unit and to the right 2 units.
I got (x-5)^2+(y-1.5)^2=7.25, but I got it wrong on my test. Could you please tell me where I might have gone wrong?
Thank you!
To shift the equation up by 1 unit and to the right by 2 units, you need to modify the coordinates of the circle's center.
The original equation is (x-3)^2 + (y-2.5)^2 = 7.25. To shift the center up by 1 unit, we should add 1 to the y-coordinate of the center, giving us (x-3)^2 + (y-2.5+1)^2 = 7.25. Simplifying, we have (x-3)^2 + (y-1.5)^2 = 7.25.
To shift the center to the right by 2 units, we should add 2 to the x-coordinate of the center. This will result in the final equation: (x-3+2)^2 + (y-1.5)^2 = 7.25. Simplifying, we have (x-1)^2 + (y-1.5)^2 = 7.25.
So, the correct equation after shifting up 1 unit and to the right 2 units is (x-1)^2 + (y-1.5)^2 = 7.25.
It seems that you made a mistake when adding the values for the shifts. Instead of subtracting 2 from the x-coordinate and subtracting 1 from the y-coordinate, you subtracted them both from the wrong coordinates, resulting in the incorrect equation (x-5)^2 + (y-1.5)^2 = 7.25.