Question

The graph of F(x), shown below, has the same shape as the graph of G(x) =

x^4, but it is shifted 4 units to the right. What is its equation?

Answer 1

Explanation:

from the graph we see that :

• f(4)=0

So our mission now is to find the expression of f(x)

let's try the four given expressions

• A

f(4)=(4∧4)-4

= 256-4

= 252

this not the expression of f

• B

f(4)=(x+4)∧4

= 4096

again this is not the expression

• C

f(4)=(x∧4)+4

= 260

This is not the expression .

let's try the last one

• D

f(4)= (4-4)∧4

= 0

that s true .

We found the expression .

Let's check by drawing the function