Consider the function f(x) = 2x and the function g(x).
how will the graph of g(x) differ from the graph of f(x)?
a.
the graph of g(x) is the graph of f(x) shifted 4 units upward.
b.
the graph of g(x) is the graph of f(x) shifted 4 units to the left.
c.
the graph of g(x) is the graph of f(x) shifted 4 units downward.
d.
the graph of g(x) is the graph of f(x) shifted 4 units to the right.

The distance between these points = 3√13

Step-by-step explanation:

Points to remember

Distance formula

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Distance = √[(x2 - x1)² + (y2 - y1)²]

It is given two points R(-1, 0) and  S(8, 6)

To find the distance

Here, (x1, y1)  = (-1, 0) and (x2, y2) = (8, 6)

Distance = √[(x2 - x1)² + (y2 - y1)²]

= √[(8 - -1)² + (6 - 0)²]

= √[(8+1)² + (6)²]

 =√[(9)² + (6)²]

 = √[(81 + 36)]

 =√117 = √(3 * 3 * 13)

 = 3√13

The distance between these points = 3√13