HELP Functions f(x) and g(x) are shown:

f(x) = x2 g(x) = x2 + 8x + 16

In which direction and by how many units should f(x) be shifted to match g(x)?
A. Left by 4 units
B. Right by 4 units
C. Left by 8 units
D. Right by 8 units

Option A, Left by 4 units

Step-by-step explanation:

Step 1:  Convert g(x) to a function square

We currently have g(x) in this order:  

However, we want g(x) to be in this order:  

The first thing we have to do is to factor it out:

Step 2:  Now we can see which way we need to move it

The original form is:  

Since the - has changed to a +, that means that we moved -4 spaces down the x-axis.  This means that we move left by 4 units.

 Option A, Left by 4 units

Look at the graphs below to make sure:

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chiken

step-by-step explanation: