PLEASE HELP! 30 POINTS!
The functions of f(x) = -(x-1)^2 - 2 and g(x) = (x+2)^2 + 1 have been rewritten using the completing-the-square method. State the vertex for each function. Is the vertex for each function a minimum or maximum? Explain your reasoning for each function.

These equations are already in vertex form. So, we can easily find the vertex of each equation.

f(x) = -(x-1)^2 - 2

Vertex: (1,-2)

The vertex in this equation is the maximum because it faces down (a=-1).

g(x) = (x+2)^2 + 1

Vertex: (-2,1)

The vertex in this equation is the minimum because it faces up (a=1).

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2