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Elodia [21]
3 years ago
10

The quadratic function f(x) has a vertex at (9, 8) and opens upward. If g(x) = 4(x − 8)2 + 9, which statement is true?

Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0
G(x) would involve a translation left 1 and up 1.

g(x) is written in vertex form, which is

g(x) = a(x-h)²+k, where (h, k) is the vertex.  Since
g(x) = 4(x-8)²+9, the vertex is at (8, 9).  Comparing this to the vertex of f(x), which is at (9, 8), it is left 1 and up 1.
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Answer:

  • x = 30°
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(a) If RS = x, then the sum of arcs around the circle is ...

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(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°

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(c) Angle P is half the difference of arcs TU and RS:

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(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...

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