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Wewaii [24]
2 years ago
15

Four lines are shown in the graph below.

Mathematics
1 answer:
Vikki [24]2 years ago
8 0

Answer:

D

Step-by-step explanation:

A vertical line will have the steepest slope

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Answer:

  h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

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<h3>f(x)</h3>

The equation is written in vertex form:

  f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

  f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

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<h3>g(x)</h3>

The given equation can be written in vertex form:

  g(x) = 5x² -10x +7

  g(x) = 5(x² -2x) +7

  g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

  g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

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<h3>h(x)</h3>

Your problem statement tells us ...

  h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

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<h3>order</h3>

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

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