Choose the function whose graph is given by

Mathematics

2 answers:

Taya2010 [7]3 years ago

7 0

Answer:

The correct option is D.

Step-by-step explanation:

The given graph is the graph of a cosine function, which shifts 1 unit left.

The cosine function is defined as

$y=a\cos(bx+c)+d$

Where, a is amplitude, b is frequency, c is phase shift and d is vertical shift.

If c>0, then the graph shifts c units left and if c<0, then the graph shifts c units right.

Since the graph show only phase shift and the graph shifts only one unit left, therefore required function is

$y=\cos(x+1)$

Option D is correct.

antiseptic1488 [7]3 years ago

6 0

Answer:

Option D is the correct answer!

Step-by-step explanation:

I did it on ap*x and it was correct thanks for tuning in!!

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Solve. -1/3b = 9<br> A.-3<br> B.3<br> C.-27<br> D.27

STALIN [3.7K]

Ok so lets plug in a first -1/3(-3) would equal 9 a is the accurate answer

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3 years ago

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The temperatures at several times of the day are shown in the coordinate plane below. The x-axis represents the number of hours

Drupady [299]

Question:

The temperatures at several times of the day are shown in the coordinate plane below. The x-axis represents the number of hours before or afternoon. For example, -1 would represent 11 a.m. The y-axis represents the temperature in degrees Celsius.At 5 p.m, the temperature is halfway between the temperature at 2 p.m. and the temperature at 8 p.m.

What coordinates represent the temperature at 5 p.m.?

Answer:

(5, 2)

=> At 5pm, the temperature is at 2⁰C

Step-by-step Explanation:

Coordinates of any point on a cartesian/coordinate plane is represented by (x, y). Where x is the number at the point on z-axis, while y is the number at the same point on the y-axis.

From the diagram of the coordinate plane attached below, we can simply find out what coordinates represent the temperature at 5pm.

==> Given that the temperature at 5pm is half way between the temperature at 2pm (y=7) and temperature at 8pm (y=-3), the point that is being referred to = [7+(-3)] ÷ 2 = ⁴/2 = 2 (i.e. 2 on the y axis representing temperature)

*The position of the point is indicated in the second picture that is attached below.

At that position of the point, we have 2 as the coordinate for the y axis representing temperature, and at that same position, we have 5 on the x-axis representing the number of hours.

Therefore, coordinates of the point (x, y) representing 5p.m = (5, 2)

==> At 5pm, the temperature is at 2⁰C