Question

Rose graphs this equation as shown x^2-4x+y^2=0 Rose correctly found the what but incorrectly found the what to correct her graph she could what

Answer 1

To correct her graph, Rose could rearrange the equation x^2-4x+y^2=0 into the standard form of a circle equation, (x-h)^2 + (y-k)^2 = r^2, by completing the square to determine the center and radius of the circle.

Step-by-step explanation:

To correct her graph, Rose could rearrange the equation x^2-4x+y^2=0 into the standard form of a circle equation, which is (x-h)^2 + (y-k)^2 = r^2. In the given equation, by completing the square, we can determine the center and radius of the circle:

1. Group the x-terms together and the y-terms together: (x^2 - 4x) + y^2 = 0
2. Complete the square for the x-terms: (x^2 - 4x + 4) + y^2 = 0 + 4
3. Simplify and write the equation in standard form: (x-2)^2 + y^2 = 4

By rearranging the equation in this way, Rose will be able to accurately graph the circle.