QuestionTranslate each graph as specified below. (a) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=x^{2}+1$. (b) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=(x+5)^{2}$.

Studdy Solution
To translate the graph of $y = x^2$ to $y = (x+5)^2$, recognize that this is a horizontal translation.
The transformation $y = (x+5)^2$ indicates a shift to the left by 5 units.
The translations are: (a) Shift the graph of $y = x^2$ up by 1 unit to obtain $y = x^2 + 1$. (b) Shift the graph of $y = x^2$ left by 5 units to obtain $y = (x+5)^2$.