1.) Determine the equation of the axis of symmetry.

Question

y = -5x2 - x + 9

Answer 1.) x=3/2

2.) Determine the equation of the axis of symmetry.
y = -6x2 + 3x - 4

Answer 2.) x=-2/10

Answer 1

I assume you have not done calculus before.
To find the axis of symmetry of a polynomial of second degree (quadratic), we only have to complete the squares, which will then give the coordinates of the vertex in the form V(h,k) where
y=a(x-h)²+k
and a is another constant.

Starting with
y = -5x2 - x + 9
we write
y=-5(x²+2(x/10))+9
=-5(x+1/10)²+5/100 +9
=-5(x+1/10)² +9.05
Therefore h=-1/10, k=9.05, and
V(-1/10,9.05)
or the axis of symmetry is x=-1/10

I will leave #2 for you as practice.

Answer 2

Thanks! so number two is wrong?

Answer 3

#2 is not correct.
You can follow the steps above and try again.