Question

Which graph represent f of x equals square root of the quantity x plus 2 end quantity minus 3? The graph shows a curve with an end point at 2 comma 3 that increasing to the right The graph shows a curve with an end point at 3 comma 2 that increasing to the right The graph shows a curve with an end point at negative 3 comma negative 2 that increasing to the right The graph shows a curve with an end point at negative 2 comma negative 3 that increasing to the right

Answer 1

The graph of the function:

$f(x) = \sqrt{x + 2} - 3$

Is the last graph (bottom graph of the second image).  

Which graph represents the given function?

Here we have the function:

$f(x) = \sqrt{x + 2} - 3$

Remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:

x + 2 = 0

x = -2

Then the function starts at:

$f(-2) = \sqrt{-2 + 2} - 3 = -3$

Then the graph should start at (-3, 2).

We can also identify another point by evaluating in x = 2.

$f(2) = \sqrt{2 + 2} - 3 =2 - 3 = -1$

So the function also passes through (2, - 1).

Notice that the only graph that contains these two points is the last graph (the bottom graph on the second image), so that is the correct option.

If you want to learn more about square roots:

brainly.com/question/98314

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