Describe the sequence of transformation from $f ( x ) = x ^ { 2 }$ to $g ( x )$ if $g ( x ) = ( x - 6 ) ^ { 2 } - 7$
A)Shifted seven units to the right and six units upwards.
B)Shifted seven units to the left and six units upwards.
C)Shifted six units to the right and seven units upwards.
D)Shifted six units to the left and seven units upwards.
E)Shifted six units to the right and seven units downwards.

Question

Quizplus · Accepted Answer

The transformation from $f(x) = x^2$ to $g(x) = (x - 6)^2 - 7$ involves shifting the graph 6 units to the right (due to $x - 6$) and 7 units downwards (due to $-7$).

Describe the Sequence of Transformation From f(x)=x2f ( x ) = x ^ { 2 }f(x)=x2

Describe the Sequence of Transformation From $f ( x ) = x ^ { 2 }$