Question

Given f(x) z?, after performing the following transformations: shift upward 92 units and shift 7 units to the right, the new function g(x) =

Answer 1

Given:

The given function is :

$f(x)=x^2$

Now the graph is shifted 92 units upward, then the graph is transformed to

$x^2+92$

Now again the graph is shifted 7 units to the right, then the graph is transformed to:

$(x-7)^2+92$

Hence, the new function is:

$g(x)=(x-7)^2+92$