Agirls walks 4 steps forward and then 3 steps backward. the girls distance walked is steps and her displacement is steps.

A girls walks 4 steps forward and then 3 steps backward. The girls distance walked is 7 steps and her displacement is 1 steps.

Explanation:

Distance can be defined as the total length of the path traveled from initial position to final position.

Displacement is the shortest distance between initial position and final position. It is difference between final position and initial position.

When a girl walks 4 steps forward and then 3 steps backwards, the distance traveled is: 4 + 3 = 7 steps

Displacement = 4 (forward)-3 (backwards)  = +1 (forward)

i guess it’s a and b

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .