You have seen several examples of how to find the equation of a circle if you are given its graph. How confident are you about writing the equation of a circle on your own if you're given the graph of a circle? Use the activity below to practice. You will be given the graph of a circle on the coordinate plane.
Which mathematical equation matches this graph?
- \(\mathsf{(x+1)^2 + (y-2)^2 = 36}\)
- \(\mathsf{(x-1)^2 + (y+2)^2 = 12}\)
When the x-coordinate is negative, the equation will have a plus sign after x. When the y-coordinate is positive, the equation will have a minus sign after y. Also, make sure to square (and not double) the length of the radius.
When the x-coordinate is negative, the equation will have a plus sign after x. When the y-coordinate is positive, the equation will have a minus sign after y. Also, make sure to square (and not double) the length of the radius.
Which mathematical equation matches this graph?
- \(\mathsf{(x+8)^2 + (y-4)^2 = 4}\)
- \(\mathsf{(x-8)^2 + (y+4)^2 = 4 }\)
- \(\mathsf{(x-8)^2 + (y-4)^2 = 2}\)
When the x-coordinate is positive, the equation will have a minus sign after x. When the y-coordinate is negative, the equation will have a plus sign after y.
When the x-coordinate is positive, the equation will have a minus sign after x. When the y-coordinate is negative, the equation will have a plus sign after y.
When the x-coordinate is positive, the equation will have a minus sign after x. When the y-coordinate is negative, the equation will have a plus sign after y.
Which mathematical equation matches this graph?
- \(\mathsf{(x-6)^2 + (y-4)^2 = 16}\)
- \(\mathsf{(x+4)^2 + (y+6)^2 = 16}\)
- \(\mathsf{(x+6)^2 + (y+4)^2 = 16}\)
When the x-coordinate is negative, the equation will have a plus sign after x. Similarly, when the y-coordinate is negative, the equation will have a plus sign after y.
When the x-coordinate is negative, the equation will have a plus sign after x. Similarly, when the y-coordinate is negative, the equation will have a plus sign after y.
When the x-coordinate is negative, the equation will have a plus sign after x. Similarly, when the y-coordinate is negative, the equation will have a plus sign after y.
Summary
Questions answered correctly:
Questions answered incorrectly:
