Question

Y= (x+5)^2+1. plot five points on the parabola

Answer 1

To plot 5 points, let's choose 5 x values and evaluate the function for every single one of them, as following:

`\begin{gathered} x=-5\rightarrow y=(-5+5)^2+1\rightarrow y=1\rightarrow(-5,1) \\ \\ x=-4\rightarrow y=(-4+5)^2+1\rightarrow y=2\rightarrow(-4,2) \\ \\ x=-3\rightarrow y=(-3+5)^2+1\rightarrow y=5\rightarrow(-3,5) \\ \\ x=-2\rightarrow y=(-2+5)^2+1\rightarrow y=10\rightarrow(-2,10) \\ \\ x=-1\rightarrow y=(-1+5)^2+1\rightarrow y=17\rightarrow(-1,17) \end{gathered}`

The plot would be the following: