Are graphs like (x-1)^(2/3) + 2 still in the study design?
2011 mav methods exam 1 question 2
Yeah I am quite sure they can still come up. You might find that it helps to know the basic shape of these graphs. If you dont, just sub in values to find the basic shape of the graph and then use transformations to help you out with the rest.
Eg. With your question, but just with the basic, simple graph.
Sub in x =0 y=0
x=1, y=1
x=-1 y=1, as u have to square the negtive then you take the square root of that.
From this, you should be able to understand that the graph resembles the square root graph or the cube root graph for when x is greater than zero, znd when it is less than 0, it is just a reflection in the y axis for the basic square root graph. Then, from this basic shape, just apply the transformations, the turning point will move up 2 units, and 1 to the right. There will be no x intercepts, but the y intercept will be at (0,3)
Sketch this on you cas to make sure. Hope this helps, feel free to clarify any misconceptions!