What value represents the vertical translation from the graph of the parent function f(x) = x2 to the graph of the function g(x) = (x + 5)2 + 3?

3

Step-by-step explanation:

The vertex form  of a quadratic is

Where (h,k) is the vertex of the parabola.  h controls the horizontal movement. k controls the vertical movement from the parent graph.

Here the vertex is (-5, 3) so 3 is a translation of 3 units up vertically.

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