QuestionDraw the graph of $f(x)=(x-1)^{2}+4$ below.
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Studdy Solution
Draw the graph of the function $f(x) = (x-1)^2 + 4$ using the identified key features.
1. Plot the vertex at $(1, 4)$.
2. Draw the axis of symmetry at $x = 1$.
3. Plot the points calculated: $(0, 5)$, $(2, 5)$, $(-1, 8)$, and $(3, 8)$.
4. Draw the parabola opening upwards, passing through these points and being symmetric about the axis of symmetry.
The graph of $f(x) = (x-1)^2 + 4$ is a parabola with its vertex at $(1, 4)$, opening upwards.