1)Graph the quadratic function 𝑓(𝑥) = (𝑥 + 2)2
− 1
a) Determine if parabola opens upward or downward
b) Determine the vertex of the parabola
c) find any x intercepts if exist by solving f(x)=0
d) find the y intercept by computing f(0)
e) plot the x and y intercepts, vertex and additional point as necessary so
connect point and graph the quadratic function above
tips
To graph 𝑓(𝑥) = 𝑎(𝑥 − ℎ)2 + 𝑘, 𝑎 ≠ 0
1. Determine whether the parabola opens upward or downward. If a > 0, it
opens upward. If a < 0, it opens downward.
2. Determine the vertex of the parabola. The vertex is
(h, k).
3. Find any x-intercepts by solving f(x) = 0. The function’s real zeros are
the x-intercepts.
4. Find the y-intercept by computing f(0).
5. Plot the intercepts, the vertex, and additional points as necessary.
Connect these points with a smooth curve that is shaped like a bowl or an
inverted bowl.