Question

The graph of y=x−2−−−−√ is is transformed to become y=x+3−−−−√−2. Which of the following statements best describes the effect this transformation has on the graph of y=x−−√

Answer 1

Answer:

The graph is translated 5 units left and 2 units down

Step-by-step explanation:

transformation =

initially the equation of graph  $y=\sqrt{x-2} = f(x)$

after transformation the equation becomes $y = \sqrt{x+3} -2 = g(x)$

transformation done $f(x) = \sqrt{x-2}$  → $g(x) = \sqrt{x+3} -2$

• The horizontal shift of graph  

it depends on the value of h. The horizontal shift is described as:

g(x) = f(x + h) - The graph is shifted to the left h units.

g(x) = f(x - h) - The graph is shifted to the right h units.

if h=0,  means that the graph is not shifted to the left or right

• the vertical shift of graph

The vertical shift depends on the value of k. The vertical shift is described

as:

g(x) = f(x) +k    - The graph is shifted up k units.

g(x) = f(x)- k     - The graph is shifted down k units.

so here in the question the graph is shifted 5 units left and then 2 units down

you can see the graph of initial equation and transformed equation below.

learn more about graphs and transformation at

brainly.com/question/10059147

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