Find the vertex of the function y = -x2 + x
Question 8 options:

1) (1/2, 1/4)

2) (1/4, 1/2)

3) (1/2, 1/2)

4) (1/4, 1/4)

Question

Find the vertex of the function y = -x2 + x
Question 8 options:
	
1) 	(1/2, 1/4)
	
2) 	(1/4, 1/2)
	
3) 	(1/2, 1/2)
	
4) 	(1/4, 1/4)

mathmale · Answer

Please write "x squared" as x^2 for clarity, or, using Equation Editor, write $$x^2.$$

The relevant equation of a parabola here is the quadratic equation y=ax^2+bx+c.  compare this general equation to the given y=-x^2+1x+0.  What are the values of a, b and c?

The x-coordinate of the vertex is x=-b/(2a).  Once you have this x value, substitute it into the given equation to find the y value at the vertex.  

Finally, write the vertex in the form $$(x _{v},y _{v})$$