Question

Which graph represents y=3 sqrt x+2

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=3\sqrt{x+2}$

Remember that the radicand must be greater than or equal to zero

so

$x+2\geq 0$

solve for x

subtract 2 both sides

$x\geq -2$

The domain is the interval [-2,∞)

All real number greater than or equal to -2

For x=-2

$y=3\sqrt{-2+2}=0$

so

The range is the interval [0,∞)

All real number greater than or equal to 0

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=3\sqrt{0+2}$

$y=3\sqrt{2}$

$y=4.243$

The y-intercept is the point (0,4.243)

therefore

The graph in the attached figure