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erica [24]
3 years ago
15

The graph of f(x)=cos(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 3 and shifting it

2 units to the left.
What is the equation of the new function g(x) ?
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

g(x) = 3 cos (x+2)

Step-by-step explanation:

To transform functions use the following formula f(x) = a cos b(x -c) + d where:

  • a stretches the function vertically
  • b compresses or stretches it horizontally
  • c shifts the function left or right
  • d shifts the function up or down

Here a = 3 and c = 2.

So the new function is g(x) = 3 cos (x+2).

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For a given input value v, the function f outputs a value u to satisfy the following equation.
tigry1 [53]

Answer: -4v+9

Step-by-step explanation:

u - 5 = -4(v - 1)

u - 5 = -4v + 4

+5 +5

u = -4v + 9

8 0
3 years ago
PLEASE HELP!!!<br> Solve for x: 3 over quantity x minus 4 equals 7 over x
uranmaximum [27]

Answer:

Solve for x

Multiply in cross

distributive property right side

subtract 3x both sides

Adds 28 both sides

Divide by 4 both sides and rewrite

Step-by-step explanation:

4 0
2 years ago
PLEASE HELP WITH GEOMETRY WILL GIVE BRAINLIEST
sammy [17]

Answer:

Option D

Step-by-step explanation:

In the first three options we can evaluate the values of x with the help of Sine Rule for all the triangles

The Rule says

\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}

Where a , b and c are the sides opposite to the angles A, B and C of any ΔABC.

Hence , in order to determine unknown values of sides or angles , we need any 3 values from all 3 sides and 3 angles in a triangle. First Three options give us three values but the last option gives only 2.

Example

in first option we can apply Sine Rule as

\frac{\sin 84}{x}=\frac{\sin 63}{3}

\frac{0.994}{x}=\frac{0.891}{3}

x=\frac{0.991 \times 3}{0.891}

x=\frac{2.973}{0.891}

x=3.336

8 0
3 years ago
Evan measured the length of a set of nails. The mean of lengths was 3 cm. The absolute mean deviation was 1 cm. Which could be E
Airida [17]

Answer:

B) 2 cm, 2 cm, 3 cm, 5 cm

brainliest???

Step-by-step explanation:

already took the test

8 0
3 years ago
Read 2 more answers
During batting practice, Lenora hit 60% of the 20 pitches that were thrown to her. What fraction of the pitches thrown did Lenor
expeople1 [14]

Answer:

A 3/5

Step-by-step explanation:Here’s one way to solve this problem.

Write sixty percent as a fraction having a denominator of one hundred.

Now, change sixty-hundredths to an equivalent fraction having a denominator of twenty, the total number of pitches.

Do this by dividing the numerator and the denominator by five.

Then, simplify the fraction twelve-twentieths by dividing the numerator and the denominator by four.

So, Lenora hit three-fifths of the pitches.

6 0
2 years ago
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