What is the vertex of $y= -x^2 + 2x - 7$ ?

Question

4044 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-31T21:54:54

$"Vertex :"(1,-6)$

$"given function "y=-x^2+2x-7$

$"derivate the function y with respect to x and make equal to zero."$

$(d y)/(d x) =0$

$d/(d x)(-x^2+2x-7)=0$

$-2x+2=0$

$-2x=-2$

$x=2/2$

$x=1$

$"plug x=1 in the function " y=-x^2+2x-7$

$y=-1^2+2*1-7$

$y=-1+2-7$

$y=-6$

What is the vertex of y= -x^2 + 2x - 7 y= -x^2 + 2x - 7 ?