Question

Find the vertex of the graph of the quadratic function. Determine whether thegraph opens upward or downward, find the y-intercept, and sketch the graph.f(x)=x2 - 4x +5The vertex is(Simplify your answer. Type an ordered pair.)

Answer 1

we have the following:

$f\mleft(x\mright)=x^2-4x+5$

the vertex form:

$\begin{gathered} x^2-4x+5=(x-2)^2+1 \\ f(x)-1=(x-2)^2 \end{gathered}$

therefore,

$(h,k)=(2,-1)$