The graph of the linear parent function is reflected and translated 6 units up to create the graph of function h. Which of the following correctly represents this transformation?
The graph of the linear parent function is reflected and translated 6 units up to create the graph of function h. Which of the following correctly represents this transformation?
h(x)=-f(x)-6
h(x)=f(x)+6
h(x)=-f(x)+6
h(x)=f(x)-6
The correct answer is h(x) = -f(x) + 6.
A reflection of the graph would involve multiplying the function by -1, which is represented by -f(x).
A translation of 6 units up would be represented by adding 6 to the function, which is shown by +6 at the end.
So, the correct transformation would be h(x) = -f(x) + 6.