Use the expression below. –4b + 8c + 12 – 8b – 2c + 6

Part A
Simplify the expression. Enter your answers in the boxes.

Part B
Factor the simplified expression using the GCF.
A. 2(–2b + c + 3)
B. 3(–2b + c + 3)
C. 4(–2b + c + 3)
D. 6(–2b + c + 3)
Part C
What is the value of the expression when b = 2 and c = –3? Enter your answer in the box.

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

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

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step-by-step explanation: