Question

Identify the type of conic section that has the equation 9x^2 + 25y^2 =225 and identify its domain and range.

Answer 1

The + on the left means it's a circle or ellipse.

The differing coefficients for x^2 and y^2 means it's an ellipse.

In standard form, that is just

x^2/25 + y^2/9 = 1

Answer 2

Whats the domain and range?

Answer 3

Domain:
[
−
4
,
4
]
,
{
x
|
−
4
≤
x
≤
4
}
[
-
4
,
4
]
,
{
x
|
-
4
≤
x
≤
4
}
Range:
[
−
3
,
3
]
,
{
y
|
−
3
≤
y
≤
3
}