[09.01]
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)? (1 point)
Group of answer choices

Left by 4 units

Right by 4 units

Left by 8 units

Right by 8 units

Left 4 units.

Step-by-step explanation:

g(x) = x^2 + 8x + 16    Factoring:

g(x) = (x + 4)^2.

So to  obtain g(x) from f(x) = x^2,  f(x)  must be shifted 4 units to the left.

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