The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

Question

asked May 17, 2022 167k views

2 Answers

DominikM · Answer 1 · 2022-05-21T20:56:09+0000

Answer:

There are two possible solutions for
g(x) :

g(x) = (x+3)^(2)-5

$g(x) = x^(2)-3\cdot x +4$

Explanation:

From statement, we understand that
g(x) is defined by the following operation:

g(x) = f(x) +5 (1)

If we know that
f(x) = (x+3)^(2)-10 , then
g(x) is defined by:

g(x) = (x+3)^(2)-10+5

g(x) = (x+3)^(2)-5

$g(x) = x^(2)-3\cdot x + 9 -5$

$g(x) = x^(2)-3\cdot x +4$