Respuesta :

the answer is c because when it's in parenthaces squared it's the opposite (which is the horizontal shift) and the plus 1 is the vertical shift

Answer:

The correct option is C.

Step-by-step explanation:

The given function is

[tex]f(x)=x^2[/tex]

It is given that both graph has same shape it means the equation of blue graph is in the form of

[tex]g(x)=(x-h)^2+k[/tex]

Where, (h,k) is the vertex of the parabola.

From the given graph it is noticed that vertex of blue parabola is (4,1), therefore the eqaution of parabola is

[tex]g(x)=(x-4)^2+1[/tex]

Option C is correct.

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