Mathematics: The graph of y=√x is shifted 2 units up and 5 units left, which equation represents the new graph? a. y=-√x+5) +2 b. y=-√x-2) +5 c. y=-√x+2) -5 d. y=-√x-5) +2

diagram?Step-by-step explanation:...

The graph of y=√x is shifted 2 units up and 5 units

HannaTheGurls

16.01.2022

A. $y=\sqrt{x+5}+2$ .

Step-by-step explanation:

We are given the function $y=\sqrt{x}$ .

Now, the function is shifted 2 units up and 5 units to the left.

That is, the function is translated 2 units up and 5 units to the left.

Since, we know,

Translation of 'k' units up changes the function f(x)

So, the function translated 2 units up is $y=\sqrt{x}+2$ .

Translation of 'k' units to the left changes the function f(x)

So, the new function translated 5 units left is $y=\sqrt{x+5}+2$ .

Hence, the equation representing the new function is $y=\sqrt{x+5}+2$ .

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