Question

HELP!!!!!!!

Answer 1

Answer:

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:  $ax^2 + bx + c$

However, we want g(x) to be in this order:  $(ax + c)^{2}$

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

$g(x)=x^{2}+8x+16$

$g(x) = (x + 4)(x + 4)$

$g(x) = (x+4)^{2}$

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

The original form is:  $f(x) = (ax - b)^{2}$

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.

Answer:  Option A, Left by 4 units

Look at the graphs below to make sure:

Answer 2

Answer:

A.) Left By 4 Units

Step-by-step explanation:

Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 + 8x + 16

The direction in which and by how many units the f(x) should be shifted to obtain the g(x) is given by as follows.

Given,

f(x) = x²

g(x) = x² + 8x + 16

we have to consider, the dependent term while selecting the direction.

Therefore, except x², only x term is dependent term.

In g(x), the x term is given by 8.

Therefore, we need to shift the f(x) left by 4 units.

Therefore, option A is correct.