Which function is a horizontal compression of its parent function f left-parenthesis x right-parenthesis equals x superscript 7 baseline by a factor of 4?
(1 point)
Responses
q left-parenthesis x right-parenthesis equals left-parenthesis Start Fraction 1 over 4 End Fraction x right-parenthesis superscript 7 baseline
Image with alt text: q left-parenthesis x right-parenthesis equals left-parenthesis Start Fraction 1 over 4 End Fraction x right-parenthesis superscript 7 baseline
r left-parenthesis x right-parenthesis equals left-parenthesis 4 x right-parenthesis superscript 7 baseline
Image with alt text: r left-parenthesis x right-parenthesis equals left-parenthesis 4 x right-parenthesis superscript 7 baseline
s left-parenthesis x right-parenthesis equals 4 x superscript 7 baseline
Image with alt text: s left-parenthesis x right-parenthesis equals 4 x superscript 7 baseline
t left-parenthesis x right-parenthesis equals Start Fraction 1 over 4 End Fraction x superscript 7 baseline
The correct answer is t left-parenthesis x right-parenthesis equals Start Fraction 1 over 4 End Fraction x superscript 7 baseline. The function t(x) is a horizontal compression of the parent function f(x) = x^7 by a factor of 4.
The function that represents a horizontal compression of its parent function f(x) = x^7 by a factor of 4 is:
q(x) = (1/4)x^7