Functions f(x) and g(x) are shown below. f(x) = x2. g(x) = x2 - 8x + 16. in which direction and by how many units should f(x) be shifted to obtain g(x)? a. left by 4 units
b. right by 4 units
c. left by 8 units
d. right by 8 units

Option B is correct.

Right by 4 units

Step-by-step explanation:

Given the function : and

Horizontal shift: Given a function f , a new function g(x) = f(x-h) , where h is constant is a horizontal shift of the function f.

* If h is positive, the graph will shift right.

* if h is negative, then the graph will shift left.

Take (x-4) common;

or

                   [ Using ]

Then, the function becomes;

g(x) =

A function g(x)= , this function comes from the parent function  with constant 4 subtract to it, this gives the horizontal shift right 4 units. so, take the parent function and shift 4 units right.

Therefore, a function f(x) be shifted right by 4 unit  to obtain g(x)

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm