Question

Use the equation below to sketch a graph. Must include labels for the increments on your x and y axis.

Answer 1

Starting from the graph of the function y = √x, we can use some rules of transformation of functions to graph the function m(t):

• f(x+h) moves the function h units left.

,

• f(x)+k moves the function k units up.

So, we have:

• The graph of y = √t is the same that the graph of y = √x:

• Now, h = 2, then the graph of y = √t moves 2 units left:

• Finally, k = 3, then the graph of y = √t, that is, ,the graph of m(t) is: