Home > CCA > Chapter 10 > Lesson 10.3.2 > Problem 10-125
10-125.
Joaquin needed to find the maximum value of
“No problem,”said Thao. “The parabola opens downward so just complete the square to find the vertex. The
“I know that,” said Joaquin. “The problem is that it is
“Mmm…what if we multiply everything by
Multiply the equation by
so you have .... Each term should have the opposite sign.
Complete the square on the right side.
Multiply the equation by
so you are back to ...
Identify the vertex and the maximum value.
If
, then the vertex is at .