Describe how the graph of g(x) is related to the graph of f(x) = x3 g(x) = (x+2)3 (power of 3) g(x) = -1/2x3 (power of 3) g(x) = (4x)3 (power of 3) + 3

(a)

f(x) is shifted left side by 2 units

(b)

f(x) is vertically compress by 2 units

(c)

f(x) is horizontally compress by 4 units

f(x) is vertically shifted upside by 3 units

Step-by-step explanation:

we are given

parent function as

(a)

we have

we can see that in place x , we have x+2

It means that f(x) is shifted left side by 2 units

So, f(x) is shifted left side by 2 units

(b)

we can see that -1/2 is multiplied

Since, negative sign is multiplied to y-value

so, f(x) is reflected about x-axis

and 1/2 is multiplied to y-value

so, f(x) is vertically compress by 2 units

(c)

we are given

we can see that in place x , we have 4x

so, f(x) is horizontally compress by 4 units

and 3 is added to y-value

so, f(x) is vertically shifted upside by 3 units

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2