Answer:
f(x) = a[tex]\sqrt{(x-h)}[/tex] + k
Step-by-step explanation:
The variable a represents the vertical scaling of the graph. When the value is greater than 0, the graph is upright. When a is a negative number, the graph will be reflected across the x-axis (i.e. upside down).
The variable h represents the horizontal shift of the graph. Note that it is (x-h), not (x+h). So the function f(x) = [tex]\sqrt{(x+3)}[/tex] would have a horizontal shift of 3 units to the left from the original parent function.
The variable k represents the vertical shift of the graph. For example, the function f(x) = [tex]\sqrt{(x+3)}[/tex] - 10 would have a horizontal shift of 3 units to the left and a vertical shift of 10 units down from the original parent function.
