Describe the graph

Algebra Level 2

$\large \sqrt{x^2 + y^2} = y$

Which of the options correctly describes the graph above?

It is the

x

-axis such that

0≤x<∞

. It is the

x

-axis. It is the

y

-axis such that

-∞<y≤0

. It is the

x

-axis such that

-∞<x≤0

. It is the

y

-axis. It is the

y

-axis such that

0≤y<∞

1 solution

Tom Engelsman
Aug 9, 2020

Squaring both sides of this equation results in $x^2 + y^2 = y^2 \Rightarrow x = 0$ (or the $y$ -axis). Since the square-root returns a non-negative result, we require $y \ge 0$ . Hence , the result is the $y-$ axis over $y \in [0, \infty).$

Describe the graph

1 solution

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