Question

Graph the ellipse with equation x squared divided by 36 plus y squared divided by 49 equals 1.

Answer 1

Step-by-step explanation:

We are asked to graph the equation of an ellipse given by $\frac{x^2}{36}+\frac{y^2}{49}=1$.

We know that standard from of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^1}=1$, when $a>b$, then the ellipse will be horizontal and when $a$, then the ellipse will be vertical.

We can rewrite our given ellipse as: $\frac{x^2}{6^2}+\frac{y^2}{7^2}=1$.

Upon looking at our given ellipse we can see that the horizontal radius is less than vertical radius, so our ellipse will be a vertical ellipse. The center of our ellipse is at origin (0,0).

Upon graphing our ellipse, we will our required graph as:

Answer 2

Check the picture below.