Esmeralda is graphing a polynomial function as a parabola. Before she begins graphing it, explain how to find the vertex. Make sure you include how to determine if it will be a maximum or minimum point. Use an example quadratic function to help you explain and provide its graph.

Question

imstuck · Answer

$$y=x ^{2}+2x+5$$$$y = (x ^{2}+2x)+5$$

imstuck · Answer

Then:

imstuck · Answer

$$y=(x ^{2}+2x+1-1)+5$$$$y=(x ^{2}+2x+1)=(-1)+5$$$$y=(x+1)^{2}+4$$$$y-4=(x+1)^{2}$$And your vertex is (-1, 4)

anonymous · Answer

Im very confused.  Why did you delete the written description you wrote before?  I wasn't gonna copy it.  Haha