Question

Does the equation `x^2 +y= 169` define y as a function of x?

Answer 1

Yes

Explanation:

Given: `x^2 + y = 169`

This function can be rearranged to be: `y = 169 - x^2` or `y = -x^2 + 169`

This is a quadratic(squared) equation, which is a parabola.

A parabola is a function of `x` since it passes the vertical line test:

Each `x` value only maps to one `y` value.

graph{169-x^2 [-10, 10, -20, 200]}