Which is the graph of y = 2 – square root of x?

On a coordinate plane, a curved line approaches the grid line at (3, 2.3), crosses the y-axis at (0, 1.5) and ends at (negative 2, 0).

On a coordinate plane, a curved line approaches the grid line at (negative 3, 2.3), crosses the y-axis at (0, 1.5) and ends at (2, 0).

On a coordinate plane, a curved line approaches the grid line at (3, 0.3), and ends at (0, 2).

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MrRoyal MrRoyal · Answer 1 · 2022-07-13T19:32:19+02:00

The graph of [tex]y = 2 - \sqrt x[/tex] is (c) a curved line that passes through points (0,2) and (3,0.3)

The function is given as:

[tex]y = 2 - \sqrt x[/tex]

The above function is a square root function.

This means that the domain is [tex]x \ge 0[/tex]

The domain implies that options (a) and (b) are false, because they include negative x values

For option (c); set x= 0 and 3

[tex]y = 2 - \sqrt 0 = 2[/tex]

[tex]y = 2 - \sqrt 3 = 0.3[/tex]

This means that the graph of [tex]y = 2 - \sqrt x[/tex] is a curved line that passes through points (0,2) and (3,0.3)