Question
(0,-3):x*2+2y*2=18
use symmetry to find at least one more point on the graph
use symmetry to find at least one more point on the graph
Answers
GPT 3.5
To find at least one more point on the graph, we can use symmetry.
Given the equation of the ellipse: x^2 + y^2 = 18
Since the ellipse is symmetric about the x-axis and y-axis, we can find another point by considering the reflection of the point (0, -3) across the x-axis and y-axis.
1. Reflecting across the x-axis:
(0, -3) reflected across the x-axis would give us the point (0, 3).
2. Reflecting across the y-axis:
(0, -3) reflected across the y-axis would give us the point (0, 3).
Therefore, the point (0, 3) is another point on the graph of the ellipse x^2 + y^2 = 18.
Given the equation of the ellipse: x^2 + y^2 = 18
Since the ellipse is symmetric about the x-axis and y-axis, we can find another point by considering the reflection of the point (0, -3) across the x-axis and y-axis.
1. Reflecting across the x-axis:
(0, -3) reflected across the x-axis would give us the point (0, 3).
2. Reflecting across the y-axis:
(0, -3) reflected across the y-axis would give us the point (0, 3).
Therefore, the point (0, 3) is another point on the graph of the ellipse x^2 + y^2 = 18.