Answer:
--- Vertex
--- Axis of symmetry
Step-by-step explanation:
Given

Solving (a): The vertex
For an equation written in

The vertex is:

By comparison:
and 

So, the vertex is:

Solving (b): The axis of symmetry
For an equation written in

The axis of symmetry is:
x = h
In (a):

So:

Answer:
x= 3.096
Step-by-step explanation:
divide both sides by 5: 3^(x-1)= 10
then take the log to get log_3 (10) = x-1 = 2.096
x= 3.096
The equation for a equilateral triangle is the side squared times root 3 divided by 4