Sketch the graph of $y = 2\left(x − 1\right)^{2} + 4$.

1. Now rewrite the equation $y = 2\left(x − 1\right)^{2} + 4$ without parentheses. Remember the order of operations!

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 $y = 2\left(x − 1\right)^{2} + 4$? Or $y = 2x^{2} − 4x +$?
   What are their stretch factors?

3. What is the parent of $y = 2\left(x − 1\right)^{2} + 4$?

   Hint (c):

   Refer to the Math Notes box from Lesson 4.3.2.

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

   Hint (d):

   See part (c).