Question

Could I get some help on a question for my homework

Answer 1

In order to calculate a shift of 5 units up, we need to add 5 units to the function value (that is, the value of y):

$\begin{gathered} y^{\prime}=y+5 \\ y^{\prime}=x^2+5 \end{gathered}$

Then, to calculate a shift of 1 unit to the right, we need to subtract 1 unit from the value of x:

$\begin{gathered} x^{\prime}=x-1 \\ y=(x^{\prime})^2+5 \\ y=(x-1)^2+5 \end{gathered}$

Therefore the correct option is the first one.