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function g is a transformation of the parent function f(x)=x^2 the graph of g is a translation right 2 and down 5units of the graph of f what is the equation of function g written in the form y=ax^2+bx+c?

function g is a transformation of the parent function fxx2 the graph of g is a translation right 2 and down 5units of the graph of f what is the equation of fun class=

Respuesta :

VectorFundament120

right 3 units down 5 units

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

right 3 units = (3,0)

down 5 units = (0,-5)

vertex = (h,k) therefore.

[tex]g(x)=(x-3)^2-5[/tex]

Then convert the vertex form into standard form for the equation in the choice.

[tex]g(x)=(x-3)^2-5\\g(x)=(x^2-6x+9)-5+9\\g(x)=(x^2-6x)+4\\g(x)=x^2-6x+4[/tex]

Thus, the answer is B.

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