Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1? right 1 unit left 1 unit right 2 units left 2 units

Shift 1 unit left

B is correct

Step-by-step explanation:

Given: The vertex of f(x) shift to g(x)

Vertex of f(x): (0,0)

Vertex form:

Vertex of g(x): (-1,0)

Only x-coordinate change and y-coordinate remain same.

Hence, The vertex of f(x) shift 1 unit left to get vertex of g(x)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

step-by-step explanation:

mean or average is 40.6