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Complete :
The graph y=x2y=\sqrt{x^2}y=x2 is a_____.
Straight line passing through origin
Circle
Parabola
Find the equation when vertical translation by kkk factor occur in the graph of radical function
y=x+ky=\sqrt{x}+ky=x+k
y=xk+ky=\sqrt{x}k+ky=xk+k
y=kxy=k\sqrt{x}y=kx
Find the equation when horizontal and vertical translation occur in the graph of radical function.
y=x+hky=\sqrt{x}+hky=x+hk
y=(x−h)+ky=\sqrt{(}x-h)+ky=(x−h)+k
y=h(x+k)y=h\sqrt{(}x+k)y=h(x+k)
Find the equation when graph of radical function stretches and shrink with x−axisx-axisx−axis reflrction.
y=−axy=-a\sqrt{x}y=−ax
y=axy=\sqrt{a}xy=ax
y=axy=a\sqrt{x}y=ax
Complete
The graph of function y=xy=\sqrt{x}y=x is a_____.
Line
Hyperbola
Find the equation when graph of radical function stretches and shrink by factor aaa
y=(x−)ay=\sqrt{(}x-)ay=(x−)a
Fill in the blank:
As the index of the radical increases, the graph of the radical function becomes_______.
Narrow
Wider
Compressed vertically
Find the equation when horizontal translation by kkk factor occur in the graph of radical function.
y=x+hy=\sqrt{x}+hy=x+h
y=(x−h)y=\sqrt{(}x-h)y=(x−h)
y=hxy=h\sqrt{x}y=hx
How the graph of vertical function y=x+2y=\sqrt{x+2}y=x+2 shifts?
Left by two units
Right by two units
Up by two units
Find the equation when graph of radical function shows reflection around x−axisx-axisx−axis
y=−xy=-\sqrt{x}y=−x
y=xy=\sqrt{x}y=x
y=2xy=2\sqrt{x}y=2x
It is done.