Respuesta :
You need to substitute x=x-8 to move it towards right and y=y+1 to move it downwards.
Hence, the answer would be f(x)=(x-8)2+1
Answer:
The correct option is 1.
Step-by-step explanation:
The parent quadratic function is
[tex]g(x)=x^2[/tex]
The transformation of the quadratic function is defined as
[tex]f(x)=(x+a)^2+b[/tex] .... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph of function shifts a units left and if a<0, then the graph of function shifts a units right.
If b>0, then the graph of function shifts b units up and if b<0, then the graph of function shifts b units down.
It is given that the quadratic function shifted eight units to the right and one unit down. It means a=-8 and b=-1.
Substitute a=-8 and b=-1 in equation (1).
[tex]f(x)=(x+(-8))^2+(-1)[/tex]
[tex]f(x)=(x-8)^2-1[/tex]
Therefore the correct option is 1.
