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1 year ago

Y=-cos(x+pi/4)amplitude period phase shift

Mathematics

1 answer:

Marina86 [1]1 year ago

6 0

Given the equation of the function:

$y=-\cos (x+\frac{\pi}{4})$

The graph of the function will be as shown in the following picture:

As shown in the figure:

The amplitude = 1

The period = 2π

The phase shift = π/4

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The function below is written in vertex form or intercept form. Rewrite them in standard form and show your work.

lora16 [44]

Answer:

The standard form as $y=5x^2+30x+41$

Step-by-step explanation:

Given: A function which is written in vertex form or intercept form.

We have to re-write it in standard form that in terms of

Given $y = 5(x+3)^2-4$

Squaring using $(a+b)^2=a^2+b^2+2ab$ , we get,

$y=5(x^2+9+6x)-4$

Multiply 5 inside , we get,

$y=5x^2+45+30x-4$

Solving further , we get,

$y=5x^2+30x+41$

Thus , we have obtained the standard form as $y=5x^2+30x+41$

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3 years ago

Read 2 more answers

A circle is inside a square as shown.

Harrizon [31]

Answer:

9.76m²

Step-by-step explanation:

The area of the square is

$Area = {s}^{2}$

where s=8m is the side length.

This means that:

$Area = {8}^{2} = 64 {m}^{2}$

The area of a circle is

$Area = \pi \: {r}^{2}$

From the diagram, the diameter is 8m.

This means that the radius is

$r = \frac{8}{2} = 4m$

The area of the circle then becomes,

$Area =3.14\: \times {4}^{2} = 3.14 \times 16$

$Area = 50.24 {m}^{2}$

The area of shaded region is area of square minus area of circle.

$Area \: of \: shaded \: region = 64 - 50.24 = 9.76 {m}^{2}$

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Harriet's map of Virginia Beach uses a scale of 1 inch for every 7 miles. Harriet runs a distance of 13.2 miles from her house i

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Answer:

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Step-by-step explanation:

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80 posters.
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4 years ago

Which expression is equivalent to 1/2r + 8p –3/4r – 2p?

Hunter-Best [27]

Answer:

-1/4r+6p

Step-by-step explanation:

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