If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?

Option (2)

Step-by-step explanation:

If a function g(x) is shifted 'a' units downwards then the equation of the transformed function will be,

g(x) = f(x) - a

Similarly, when the parent function is shifted 'a' units upwards, equation of the transformed function will be,

g(x) = f(x) + a

If the parent function is f(x) = x

And the graph of this function is shifted 7 units downwards,

Transformed function will be,

f'(x) = x - 7

Option (2) will be the correct option.

b. astronomers

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x