Hint( complete the square) when graphed what does it create.
Please explain how to get to the answer so I can learn myself. I don't even remember what (h,k) form is.
Please explain how to get to the answer so I can learn myself. I don't even remember what (h,k) form is.
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Because x and y are both squared, and have the same coefficient, we know this is a circle. The goal is the form: (x - h)² + (y - k)² = r² ---> center is (h, k), radius is r
x² + y² - 2x + y + 1 = 0
(x² - 2x + _) + (y² + y + _) = -1
(x² - 2x + 1) + (y² + y + (1/4)) = -1 + 1 + (1/4)
(x - 1)² + (y + (1/2))² = 1/4
circle w/center at (1, (-1/2)), radius = 1/2
x² + y² - 2x + y + 1 = 0
(x² - 2x + _) + (y² + y + _) = -1
(x² - 2x + 1) + (y² + y + (1/4)) = -1 + 1 + (1/4)
(x - 1)² + (y + (1/2))² = 1/4
circle w/center at (1, (-1/2)), radius = 1/2
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x^2 + y^2 - 2x + y + 1 = 0
(x^2 - 2x + 1) + (y^2 + y +1/4) -1/4 = 0
factorize terms in brackets and add both sides by 1/4
(x -1)^2 + (y + 1/2)^2 = 1/4
This is the equation in (h,k) form where (x - h)^2 + (y - k)^2 = r^2 that graphs a circle with center (h,k) and a radius of r.
(x^2 - 2x + 1) + (y^2 + y +1/4) -1/4 = 0
factorize terms in brackets and add both sides by 1/4
(x -1)^2 + (y + 1/2)^2 = 1/4
This is the equation in (h,k) form where (x - h)^2 + (y - k)^2 = r^2 that graphs a circle with center (h,k) and a radius of r.