Graph 4x2 + y2 = 9. What are its lines of symmetry?

Question

(1 point)
Responses

graph of ellipse
Every line through the origin is a line of symmetry.
Image with alt text: graph of ellipse Every line through the origin is a line of symmetry.

graph of ellipse
It has two lines of symmetry, the x-axis and the y-axis.
Image with alt text: graph of ellipse It has two lines of symmetry, the x -axis and the y -axis.

A circle is graphed on the coordinate plane.The circle passes through the points left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 3 comma 0 right-parenthesis, left-parenthesis 0 comma negative 3 right-parenthesis, and left-parenthesis negative 3 comma 0 right-parenthesis.
Every line through the origin is a line of symmetry.
Image with alt text: A circle is graphed on the coordinate plane. The circle passes through the points left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 3 comma 0 right-parenthesis, left-parenthesis 0 comma negative 3 right-parenthesis, and left-parenthesis negative 3 comma 0 right-parenthesis. Every line through the origin is a line of symmetry.

An ellipse is graphed on the coordinate plane.The ellipse is symmetric about the x-axis and the y-axis. It passes through the approximate points left-parenthesis 0 comma 1.5 right-parenthesis, left-parenthesis 3 comma 0 right-parenthesis, left-parenthesis 0 comma negative 1.5 right-parenthesis, and left-parenthesis negative 3 comma 0 right-parenthesis.
It has two lines of symmetry, the x-axis and the y-axis.

Answer 1

Image with alt text: An ellipse is graphed on the coordinate plane. The ellipse is symmetric about the x-axis and the y-axis. It passes through the approximate points left-parenthesis 0 comma 1.5 right-parenthesis, left-parenthesis 3 comma 0 right-parenthesis, left-parenthesis 0 comma negative 1.5 right-parenthesis, and left-parenthesis negative 3 comma 0 right-parenthesis. It has two lines of symmetry, the x-axis and the y-axis.