Notice that the parent function of y is:
[tex]f(x)=\sqrt{x}.[/tex]
Now, recall that a function h(x) translated n units to the left is represented by:
[tex]h(x+n),[/tex]
translated m units up :is represented by
[tex]h(x)+m,[/tex]
reflected across the x-axis :is represented by
[tex]-h(x),[/tex]
vertically compressed by a factor of 1/k :is represented by
[tex]\frac{1}{k}h(x).[/tex]
Therefore, y is f(x) translated 3 units to the left, reflected over the x-axis, vertically compressed, and translated 2 units up.
Answer:
y is its parent function translated 3 units to the left, reflected over the x-axis, vertically compressed, and translated 2 units up.
