### Home > INT3 > Chapter 4 > Lesson 4.2.1 > Problem4-50

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? Homework Help ✎

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

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

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