The function f(x) = x3 + 4 is transformed to give a new function, g(x). the graph of g(x) [red] shows a horizontal shrink compared to the graph of f(x) [blue]. what is the function g(x)?

a.
g(x) = 2(x^3 + 4)

b.
g(x) = 1/2 (x^3 + 4)

c.
g(x) = 2x^3 + 4

d.
g(x) = 1/2 x^3 + 4

If all you want is a horizontal shrink then the answer you choose should not be in brackets. The brackets will alter the way the graph looks.

That means that A and B are not correct.

If you have a graph where a>1 the graph will expand.

If you have a graph where a<1 but greater than 0 the graph will shrink.

y = 1/2 x^3 + 4 is the answer you want.

Just to show you the graphs, I have enclosed a graph of the three choices.

y = x^3 + 4 is red

y = 2x^3 + 4 is blue

y = (1/2) x^3 + 4 is green. The green one is the one you want.

Plato g(x)=2x^3+4 if you graph it you will see it for yourself but the other persons end up getting bigger and to the left of the blue line so I just wanted to let ya´ll know.

Hope I really helped, Have a great day!!!

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

b

step-by-step explanation: