f(x) = 1/4(x + 5)^2 + 2
Identify the vertex and whether the graph opens up or down.
A) (-5, 2); opens down
B) (5, 2); opens down
C) (-5, 2); opens up
D) (5, 2); opens up
The given equation is in the form of vertex form: f(x) = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.
Comparing the given equation f(x) = 1/4(x + 5)^2 + 2 to the vertex form, we can identify that the vertex is (-5, 2).
Since the coefficient "a" is positive (1/4), the graph opens upward.
Therefore, the correct answer is: C) (-5, 2); opens up.