Answer:
Vertical stretching by a factor of 12, followed by upward translation of 2 units.
Step-by-step explanation:
Let's assume you're starting with f(x), the parent function.
Multiplying f(x) by 12 will stretch the graph vertically by a factor of 12. A point (1,1) on the graph of f(x) will re-appear as (1,12) after this vertical stretching. Once you've done that, translate the entire graph upward by 2 units.
$365 increased to $428
365/428=1.17
which translates to an 117% increase
Answer:
f(g(x)) = 2(x^2 + 2x)^2
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Step-by-step explanation:
Given;
f(x) = 2x^2
g(x) = x^2 + 2x
To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).
f(g(x)) = 2(g(x))^2
f(g(x)) = 2(x^2 + 2x)^2
Expanding the equation;
f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)
f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)
f(g(x)) = 2(x^4 + 4x^3 + 4x^2)
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Hope this helps...
