The graph of y=√x is shifted 2 units down and 3 units left. Which equation represents the new graph?
A. y=√x-2-3
B. y=√x+2-3
C. y=√x+2+3
D. y=√x+3+2

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facundo3141592 facundo3141592 · Answer 1 · 2022-08-03T17:33:30+02:00

the equation that represents the new graph is:

g(x) = √(x - 3) - 2

Here we start with the function:

y = f(x) = √x

First, we shift it 2 units down, then the new equation will be:

g(x) = f(x) - 2

Now we apply a horizontal shift, this time we shift the graph 3 units to the left, then the new equation is:

g(x) = f(x - 3) - 2

Now we replace f(x) = √x to get:

g(x) = √(x - 3) - 2

That is the equation that represents the new graph.

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