The graph of f(x), shown below, has the same shape as the graph of g(x) = 3x2, but it is shifted down 1 unit. what is its equation? f(x) = a. f(x) = 3(x + 1)2 b. f(x) = 3x2 + 1 c. f(x) = 3x2 - 1 d. f(x) = 3(x - 1)2

Step-by-step explanation:

We have been given the function , it is shifted down 1 unit. Now, whenever a function is shifted up or down we just the idea of vertical shift which says:

To shift a function up by 'k' units we use:

To shift a function down by 'k' units we use:

Here, in our case we have to shift the function down by 1 unit, so we will subtract 1 from the function:

So the required function is .

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb

just needed some points but try socratic