Question

Given the function f(x)=x3+5
, which of the following functions is the new function after f(x)
is shifted 3 units up?(1 point)
Responses

h(x)=x3−8
h left parenthesis x right parenthesis equals x superscript 3 baseline minus 8

h(x)=x3+5
h left parenthesis x right parenthesis equals x superscript 3 baseline plus 7

h(x)=x3+8
h left parenthesis x right parenthesis equals x superscript plus 8

h(x)=x3−5

Answer 1

h(x) = x^3 + 8

Reason: Shifting a graph up 3 adds 3 to the y-value, so x^3 + 5 becomes x^3 + 5 + 3 = x^3 + 8.