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11Alexandr11 [23.1K]
3 years ago
15

Write a function that transforms in the following way vertical stretch by a factor of six and ships four units left and four uni

ts up

Mathematics
1 answer:
LiRa [457]3 years ago
3 0

Answer:

D) g(x) = (6/(x + 4)) + 4

Step-by-step explanation:

f(x) = 1/x

stretch by 6 times

g(x) = 6/x

shift 4 units left

g(x) = 6/(x + 4)

shift 4 units up

g(x) = 4 + 6/(x + 4)

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
8090 [49]

Answer:

Option B.

{–9 + i√225 / 24, –9 – i√225 / 24}

Step-by-step explanation:

12a² + 9a + 7 = 0

Using formula method, the solutions to the equation can be obtained as follow:

Coefficient of a² (a) = 12

Coefficient of a (b) = 9

Constant (c) = 7

a = –b ±√(b² – 4ac) / 2a

a = –9 ±√(9² – 4 × 12 × 7) / 2 × 12

a = –9 ±√(81 – 336) / 24

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–225 = –1 × 225

Thus,

–9 ±√(– 225) / 24 = –9 ±√(–1 × 225)/24

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√(–1 × 225) = √–1 × √225 = i√225

Thus,

–9 ±√(–1 × 225)/24 = –9 ± i√225/24

Therefore,

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{–9 + i√225 / 24, –9 – i√225 / 24}

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