CPM Homework Help : INT3 Problem 4-50

Shortcut Shuneel claims he has a shortcut for determining the vertex of a parabola. While using his shortcut on $y=2x^2+3x+1$ , he ended up with $y=2\left(x+\frac{3}{4}\right)^2-\frac{7}{2}$ . Is Shuneel’s new equation correct? Why or why not?

Hint:

Graph each function. Are the graphs the same?
If not, what is the difference?

More Help:

Use algebra to rewrite $y =2\left( x+\frac{3}{4}\right)^2 -\frac{7}{2}$ and compare it to Shuneel's original problem.

Answer:

These are different functions, so unfortunately, Shortcut Shuneel's shortcut does not work.