Answer
a) 4x4x4x5x5 using index notation

b) 9x7x9x9x7x9 using index notation

4^3x5^2, 7^2x9^4

Step-by-step explanation:

Where a^b means a to the power b. When writing on paper b should be small and above and to the right of a. Keep the bottom numbers in order, so 4 before 5 and so on. In a there are 3 4s and 2 5s, hence the answer. Same reasoning for b.

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