Answer:
See below for answers and explanations
Step-by-step explanation:
a) Recall the parent function of a square root function is [tex]y=\sqrt{x}[/tex] where:
- Since the radical is negative, this means the new graph is reflected over the x-axis
- Since -2 is in the radical, this means a horizontal shift of 2 units to the right
- Since +1 is outside the radical, this means a vertical shift of 1 unit up
b) Recall the parent function of a rational function is [tex]y=\frac{1}{x}[/tex] where:
- Since the fraction is negative, this means the new graph is reflected over the x-axis
- Since +5 is in the denominator, this means a horizontal shift of 2 units to the left
- Since -3 is outside the fraction, this means a vertical shift of 3 units down
