The graph is a horizontal shift of the function two units to the left.
Given
The graph of the parent square root function is;
\(\rm y= \sqrt{x} +2\)
What is the horizontal shift?
The horizontal shift is obtained by determining the change being made to the x-value. The horizontal shift is C.
If the horizontal shift is positive, the shifting moves to the right.
If the horizontal shift is negative, the shifting moves to the left.
The square root parent function is,
\(\rm y= \sqrt{x} +2\)
There is a shift in positive x-direction 2 units.
When the constant is negative the shift is to the right in c units, and when the constant is positive (like in this case) the shift is to the left in c units.
Hence, the graph is a horizontal shift of the function two units to the left.
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