Sketch the graph of $y = 2(x − 1)^2 + 4$.

1. Now rewrite the equation $y = 2(x − 1)^2 + 4$ without parentheses. Remember the Order of Operations!

   Answer (a):

   $y=2x^2−4x+6$

2. What would the difference be between the graphs of the two equations above? This is sort of a trick question, but explain your reasoning.

   Hint (b):

   Where is the vertex of $y=2(x−1)^2+4$? Of $y=2x^2−4x+6$? What are their stretch factors?

3. What is the parent function of $y = 2(x − 1)^2 + 4$?

   Hint (c):

   Refer to the list of parent graphs in the Math Notes box in Lesson 2.2.3.

4. What is the parent function of $y = 2x^2 − 4x + 6$?

   Hint (d):

   See part (c).