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?

Question

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

Answer 1

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.