Question

The graphs of f(x) and g(x) are shown below:

If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?

g(x) = x^2 + 18x + 81

g(x) = x^2 + 10x + 25

g(x) = x^2 + 14x + 47

g(x) = x^2 + 14x + 51

Answer 1

@Mehek14

Answer 2

let me attach the graph

Answer 3

I'm not sure because I don't really understand the question

Answer 4

a is correct

Answer 5

ya but I want to know how to do the problem not just know the answer

Answer 6

@mathmale

Answer 7

If f(x) = (x + 7)^2, which of the following is g(x)?
Look carefully at the graph of f(x). Notice that the vertex of this graph is at x=-7

The rule is: given w(x)=(x)^2 (which is represented by a parabola), the graph of z(x)=w(x-b) is the same as the graph of w(x), EXCEPT that it has been translated b units to the right.

The graph of q(x)=w(x+c) is the same as that of w(x), except that it's been translated c units to the left.

See what you can do with this info.