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skelet666 [1.2K]
3 years ago
10

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:
LekaFEV [45]3 years ago
5 0
For f(x) to be g(x), the equation f(x) would shift left one
swat323 years ago
4 0

Answer:

graph of g(x) will be translated 1 unit to the left

Step-by-step explanation:

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

LEts write the given g(x) in vertex form

WE apply completing the square method

WE take coefficient of x and then divide it by 2 and then square it

2 by 2= 1

1^2=1

add and subtract 1

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

g(x) =(x^2 + 2x +1)-1+1

now we factor  x^2+2x+1= (x+1)(x+1)

g(x) =(x+1)(x+1)-1+1

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

Now we compare with the graph of f(x)= x^2

In g(x), 1 is added with x

So graph of g(x) will be translated 1 unit to the left

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