Write the resulting function if the transformation f (x+3) + 9 is applied on the function f (x) = x^2+1

a) x^2+13

b) x^2+19

c) x^2+6x+19

d) x^2+3x+13

Question

Mathematics

Lorena Heath

9 August, 09:38

Write the resulting function if the transformation f (x+3) + 9 is applied on the function f (x) = x^2+1

a) x^2+13

b) x^2+19

c) x^2+6x+19

d) x^2+3x+13

+5

Answers (1)

Know the Answer?

Patrick Hobbs · Answer 1

We have the following function:

f (x) = x ^ 2 + 1

We apply the transformation f (x + 3) + 9:

g (x) = (x + 3) ^ 2 + 1 + 9

Rewriting we have:

g (x) = (x + 3) * (x + 3) + 1 + 9

g (x) = (x ^ 2 + 3x + 3x + 9) + 1 + 9

g (x) = (x ^ 2 + 6x + 9) + 1 + 9

g (x) = x ^ 2 + 6x + 9 + 1 + 9

g (x) = x ^ 2 + 6x + 19

Answer:

the resulting function if the transformation f (x + 3) + 9 is applied on the function f (x) = x ^ 2 + 1 is:

c) x ^ 2 + 6x + 19

Write the resulting function if the transformation f (x+3) + 9 is applied on the function f (x) = x^2+1a) x^2+13b) x^2+19c) x^2+6x+19d) x^2+3x+13

Write the resulting function if the transformation f (x+3) + 9 is applied on the function f (x) = x^2+1

a) x^2+13

b) x^2+19

c) x^2+6x+19

d) x^2+3x+13