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AleksAgata [21]
3 years ago
12

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

Mathematics
2 answers:
Flura [38]3 years ago
4 0
The graph went left 1 and up 6. You could complete the square to find out or just graph it!
Hope this helps!
Shtirlitz [24]3 years ago
4 0

Answer:

Translation: Shift 1 unit left and 5 unit up

Step-by-step explanation:

Given: f(x)=x^2

Translation function, g(x)=x^2+2x+6

First we change g(x) into vertex form and then check the translation.

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

Completing square

g(x)=(x^2+2x+1)+5

g(x)=(x+1)^2+5                     \because a^2+2ab+b^2=(a+b)^2

Now, we will compare the function with f(x)

f(x)=x^2

Shift f(x) 1 unit left

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

Shift f(x) 5 unit up

f(x)=(x+1)^2+5=g(x)

Translation: 1 unit left and 5 unit up

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