Ask question

Ask question

All categories

2 years ago

13

What is the equation of the graph

"absmiddle" class="latex-formula"> under a vertical stretch by the factor 2 followed by a horizontal translation 3 units to the left and then a vertical translation 4 units down?
a.) $y=2(x+3)^3+4$
b.) $y=2(x-3)^3+4$
c.) $y=2(x+3)^3-4$
d.) $y=2(x-3)^3-4$

1 answer:

Galina-37 [17]2 years ago

8 0

Answer:

C. y = 2 (x + 3)³ − 4

Step-by-step explanation:

y = x³

Stretch vertically by 2.

y = 2x³

Shift horizontally 3 units to the left.

y = 2 (x + 3)³

Shift vertically 4 units down.

y = 2 (x + 3)³ − 4

You might be interested in

Identify the x- and y-intercepts.

UkoKoshka [18]

I would say the x intercept is (6,0) and the y intercept is (4,0)

4 0

2 years ago

Read 2 more answers

Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental

Nezavi [6.7K]

Answer:

she will pay $19 for each day

Step-by-step explanation:

94-18=76

76÷4=19

6 0

2 years ago

URGENT ANSWER NOW In △ABC, A=59∘, a=20, and c=21. What are the two possible values for angle C to the nearest tenth of a degree?

PilotLPTM [1.2K]

Answer:

The two possible values of C are 64.2° and 115.8°

Step-by-step explanation:

* In ΔABC

- a, b, c are the lengths of its 3 sides, where

# a is opposite to angle A

# b is opposite to angle B

# c is opposite to angle C

- m∠A = 59°

- a = 20

- c = 21

* To find the distance m∠C we can use the sin Rule

- In any triangle the ratio between the length of each side

to the measure of each opposite angle are equal

- c/sinC = a/sinA = b/sinB

* Lets use it to find the m∠C

∵ 21/sinC = 20/sin(59)

∴ sin(C) = 21 × sin(59) ÷ 20 = 0.9000256657

∴ m∠C = sin^-1(0.9000256657) = 64.16144°

∴ m∠C = 64.2°

∵ The value of sin(C) is positive

∴ Angle C may be in the first quadrant (acute angle)

or in the second quadrant (obtuse angle)

∴ The other measure of ∠C = 180 - 64.2 = 115.8

* The two possible values of C are 64.2° and 115.8°

6 0

2 years ago

Rank these graphs on the basis of the angular acceleration of the object. Rank positive angular accelerations as larger than neg

insens350 [35]

The ratio of change in angular position to change in time is defined as the angular velocity. Thus, the slope of an angular position versus time graph gives the angular velocity of the <span>object being graphed.
The rank of the given graphs can be written as follow,positive graphs are listed first.
The line B is the line with the greater positive slope.
</span><span>The line B is the line with positive slope but is less than the slope of line B.
</span><span>The lines A,t ,and F are the lines with the zero slope.
</span>The lines D and E are parallel to each other and have same negative slope.<span />

7 0

2 years ago

The side length of a square ice cube is claimed to be 1.0 inches, correct to within 0.001 inch. Use linear approximation to esti

Olenka [21]

Answer:

0.012

Step-by-step explanation:

Linear approximation says that,

$f(x) \approx f(x_o)+f'(x_o)(x-x_o)$

For a cube the surface area is $6x^2$ .

So the side is 1.0 inch in, the surface area is $=6\times1^2 = 6$ square inches.

In Linear approximation means you ignore the term $x_o^2$ , if $x_o$ is a small number, because then $x_o^2$ will be a very smalle number and that does not contribute much to the error.

So the surface area is approximately,

$6x^2=6x_o^2+12x_o(x-x_o)$

So here, $x=1.001, x_o=0.001$

The error in the area is approximately,

$12 \times 0.001=0.012$

So the error is 0.012.

3 0

2 years ago