contestada

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3?

right 2, up 3
left 2, down 3
right 2, down 3
left 2, up 3

Respuesta :

right 2 up 3 because when the change happens within x the opposite result happens but for vertical it remains the same . So the answer is right 2, up 3
calculista

we have

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

This is a vertical parabola open upward

The vertex is the point [tex](0,0)[/tex]

[tex]g(x)=(x-2)^{2}+3[/tex]

This is a vertical parabola open upward

The vertex is the point [tex](2,3)[/tex]

The rule of the translation of f(x) to g(x) is

[tex](x,y)-----> (x+2,y+3)[/tex]

that means

the translation is [tex]2[/tex] units to the right and [tex]3[/tex] units up

therefore

the answer is the option

right 2, up 3