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Dafna1 [17]
3 years ago
5

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?

Mathematics
2 answers:
Phoenix [80]3 years ago
8 0

we know that

The vertex of the function

f(x)=x^{2}

is the point (0,0)

and

the function

g(x)=x^{2} +2x+1

is equal to

g(x)=(x+1)^{2}

so

the vertex is the point (-1,0)

therefore

the answer is

The translation to maps the vertex of f(x) onto the vertex of g(x) has the following rule

(x,y)--------> (x-1, y)

check

(0,0)----> (0-1,0)----> (-1,0) is ok

raketka [301]3 years ago
4 0
While the vertex of the function f(x) = x^2 is (0, 0), the vertex of the function g(x) = x^2 + 2x + 1 is (-1, 0).
Whereas both function has same y-cordinate, their x-coordinate are different which indicates that the function g(x) = x^2 + 2x + 1 is a horizontal translation of the function f(x) = x^2.
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