Question

If f ( 4 ) = − 2 , write an ordered pair that must be on the graph of y = f ( x + 4 ) + 1

Answer 1

We have been given that

$y = f ( x + 4 ) + 1\\ \\ f(4)=-2$

Now, we need to find an ordered pair that must be on the graph of

$y = f ( x + 4 ) + 1$

On substituting x=0 in the above equation, we get

$y = f ( 0 + 4 ) + 1\\ \\ y=f(4)+1\\ \\ \text{On substituting the value of f(4)= -2, we get}\\ \\ y=-2+1\\ y=-1$

Therefore, the required ordered pair is given by (0,-1)