Answer :
we have
[tex]y=(x-1)^2+4[/tex]Remember that the y-intercept is the value of y when the value of x is equal to zero
so
For x=0
substitute in the given equation
[tex]\begin{gathered} y=(0-1)^2+4 \\ y=1+4 \\ y=5 \end{gathered}[/tex]therefore
we have
[tex]y=(x-1)^2+4[/tex]Remember that the y-intercept is the value of y when the value of x is equal to zero
so
For x=0
substitute in the given equation
[tex]\begin{gathered} y=(0-1)^2+4 \\ y=1+4 \\ y=5 \end{gathered}[/tex]therefore
