Question content area top
Part 1
Rewrite the function to make it easy to graph using transformations of its parent function. Describe the graph.
y equals StartRoot 9 x minus 18 EndRoot
Question content area bottom
Part 1
yequals
3 StartRoot x minus 2 EndRoot (Simplify your answer.)
Part 2
Choose the statement that best describes the transformation of the parent function.
A.
The graph stretches vertically by a factor of 3 and is translated 2 units to the left.
B.
The graph stretches vertically by a factor of 3 and is translated 18 units to the right.
C.
The graph stretches vertically by a factor of 3 and is translated 2 units to the right.
D.
The graph shrinks vertically by a factor of 9 and is translated 2 units down.
E.
The graph shrinks vertically by a factor of 3 and is translated 18 units up.
F.
The graph shrinks vertically by a factor of 9 and is translated 18 units to the left.
Part 1:
The function y = 3√(x - 2) can be graphed by starting with the parent function y = √x and applying a vertical stretch by a factor of 3 and a horizontal translation 2 units to the right. The graph will have the same basic shape as the square root function, but it will be stretched vertically and shifted to the right.
Part 2:
C. The graph stretches vertically by a factor of 3 and is translated 2 units to the right.