Question

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

Answer 1

Since your equation is in the form \[y = ax ^{2}+bx+c\]Start by using... \[\frac{ -b }{ 2a }\] by plugging in the values, you get...
\[\frac{ 1 }{4}\]That is your x value. Plug that into your equation for x, and that will find your y-value. Therefore, your vertex is (0.25, 5.875) or, as a fraction, (1/4, 47/8)