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Answer:
(d) x = 3
Step-by-step explanation:
The "vertex form" of the equation of a parabola is ...
y = a(x -h)² +k
In this form, the vertex has coordinates (h, k).
Comparing the form to your equation, you see that h=3, k=4, so the vertex is (h, k) = (3, 4).
The line of symmetry is a vertical line through the vertex. It will have the same x-value as the x-coordinate of the vertex:
x = 3
_____
In short, the equation of the line of symmetry has its constant equal to the opposite of the value added to x. Here, the added constant is -3, so the line of symmetry is x=3.
The values h and k in the vertex-form equation represent the amount of translation right and up from the parent function graph. When the graph is translated 3 units to the right, the line of symmetry moves from x=0 to x=3.
