Question 1157013
the vertex x point is at -b/2a and b is -2 and a is the coefficient of x or 1
so the vertex x point is +1
f(1)=1-2-5=-6
so the vertex is at (1, -6)

The axis of symmetry is the x-value or x=1

for 5 points, 
first pick x=0, and f(0)=-5. that is easy
the vertex is a point, so you have that.
Try -1 and you get 1+2-5=-2
try 2 and you get -5
because -1 is two units away from 1, and +3 is two units away from 1, and the function is symmetrical, the y-values are the same. So f(-1)=f(3)=-2
if you look at f(-2) three units from the axis, f(4) is also 3 units away, and they have the same y-value.


{{{graph(300,300,-10,10,-10,10,x^2-2x-5)}}}