Question

Determine the equation for a sine function that has a horizontal compression by a factor of 3 and a reflection across the x-axis.(1 point)
Responses

f(x)=sin(−3x)
f of x is equal to sine of open paren negative 3 x close paren

f(x)=−3sinx
f(x)=−3sinx

f(x)=sin(−13x)
f of x is equal to sine of open paren negative 1 third x close paren

f(x)=sin(13x)
f of x is equal to sine of open paren 1 third x close paren
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Answer 1

Horizontal compression by 3: replace x with 3x → sin(3x).
Reflection across the x-axis: multiply by −1 → −sin(3x).

Since sin(−3x) = −sin(3x), the correct choice is f(x) = sin(−3x) (equivalently f(x) = −sin(3x)).