Answer:
Given function to graph is,
[tex]y=(x+1)^2+3[/tex]
To graph the above function using the transformation on the parent function y=x^2
The parent graph y=x^2 is given by,
by the transformation,
[tex]\begin{gathered} y=(x+1)^2 \\ y=(x-(-1))^2 \end{gathered}[/tex]
The parent graph shift to left by 1 unit. (negative 1 makes it to shift left by 1 unit)
and the required equation is,
[tex]y=(x+1)^2+3[/tex]
The transformed graph above is shifted up by 3 units.
The required graph is plotted as,
Hence the required graph.
