Choose the function correctly identify the transformation of f(x)=x^2 shifted two units down and one unit to the left

The required function is .

Step-by-step explanation:

The given function is

The general equation is

Where, a represents the horizontal shift and b represents the vertical shift.

→ If a>0, then the graph of f(x) shifts left by a units and if a<0, then the graph of f(x) shifts right by a units.

→If b>0, then the graph of f(x) shifts upward by b units and if b<0, then the graph of f(x) shifts downward by b units.

Since the graph of f(x) shifted two units down and one unit to the left, therefore the value of b is -2 and the value of a is 1.

Therefore the required function is .

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).