### Home > A2C > Chapter Ch4 > Lesson 4.3.1 > Problem 4-140

4-140.

Sketch the graph of

*y*= 2(*x*− 1)^{2}+ 4. Homework Help ✎Now rewrite the equation

*y*= 2(*x*− 1)^{2}+ 4 without parentheses. Remember the order of operations!What would the difference be between the graphs of the two equations above? This is sort of a trick question, but explain your reasoning.

What is the parent of

*y*= 2(*x*− 1)^{2}+ 4?What is the parent of

*y*= 2*x*^{2 }− 4*x*+ 6?

*y* = 2*x*^{2} − 4*x* + 6

Where is the vertex of *y* = 2(*x* − 1)^{2} + 4? Or *y* = 2*x*^{2} − 4*x* + ?

What are their stretch factors?

Refer to the Math Notes box from Lesson 4.3.2.

See part (c).