9514 1404 393
Answer:
f, h, g
Step-by-step explanation:
The axis of symmetry for a vertically-opening parabola is the line ...
x = constant
where the constant is the x-coordinate of the vertex.
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<u>h(x)</u>
The equation of f(x) is given in vertex form ...
f(x) = a(x -h)² +k . . . . . vertex: (h, k)
where (h, k) = (-4, 1).
The axis of symmetry of f(x) is x = -4.
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<u>g(x)</u>
The equation of g(x) is given in standard form ...
g(x) = ax² +bx +c
The line of symmetry for this parabola is ...
x = -b/(2a) = -(-16)/(2(2)) = 16/4 = 4
The axis of symmetry of g(x) is x = 4.
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<u>h(x)</u>
The x-coordinate of the vertex can be read from the graph:
x = 1
The axis of symmetry of h(x) is x = 1.
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From smallest to largest, the rank is f(x), h(x), g(x).
