Hello i don’t understand how to do this can someone teach me how to do this

g(x)=x+2

Step-by-step explanation:

So pretend the parent function was y=x.

Pretend we take this parent function and it move it right h units and up k units, then the equation becomes y=(x-h)+k.  The assumption here was if h and k were positive.

Now if h is negative then it was moved left h units and if k was negative it was moved down k units.

So we have f(x)=x+6 and we want to move this 4 units right.

This effects the x since we are moving it left or right.

So I'm going to write g(x)=(x-4)+6.

We can simplify this:

g(x)=(x-4)+6

g(x)=x-4  +6

g(x)=x+2

Let's see if this actually moved us right 4 units.

Let's pick a point on f(x)=x+6 by choosing and x to plug in:

I choose x=0.

f(0)=0+6=6.

So the point (0,6) is on this line.

If I moved this points right 4 units it becomes (0+4,6)=(4,6).

This should be on our graph for the function above we found if we did it correctly.

Let's check it:

g(4)=4+2

g(4)=6

Guess what? (4,6) is a point on g because g(4)=6.

Let's do another.

Let's choose x=5.

f(5)=5+6=11 means we have the point (5,11) on the graph of f.

If we moved this point 4 units right it becomes (5+4,11)=(9,11).

Let's check to see if this is on g.

g(x)=x+2

g(9)=9+2

g(9)=11 so (9,11) is on g.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

associative property of multiplication