Solve the inequality 2(-3 + 5) + 2 ≥ -4(x - 2) - 3

4≤x same as x ≥ 4

Step-by-step explanation:

First you need to apply the distributive property.

That means 2 times -3 and positive 5

The inequality should look like this:

-6+10+2≥-4(x-2)-3

You should then do the same but on the other side keeping the -6+10+2 the same and undisturbed

Should look like this:

-6+10+2≥-4x+8-3

After, solve all of it

Should be simplified to this:
6 ≥ -4x+5

Now subtract 5 from both sides

6-5 ≥ -4x

1 ≥ -4x

Since we are dividing the inequality rule said that we shall flip the sign if dividing or multiplying by a negative number.  

So the answer should look like this:

x ≥ 4

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2