write an equation of the parabola that has the same shape as the graph of f (x)=4x^2, but with the point (-9,2) as the vertex

Answers

Answer 1

Answer:

The equation of the parabola is y = a(x - h)^2 + k, where (h,k) is the coordinates of the vertex. In this case, the equation would be y = 4(x + 9)^2 + 2.

How will you define parabola?

Any point on a parabola is equally distant from the directrix, a fixed straight line, and the focus, a fixed point. An U-shaped plane curve is a parabola.

What is a parabola in a graph?

Drawing a parabola for the quadratic function f(x) = $ax^(2)$ + bx + c results in a U-shaped curve. When an is smaller than zero, the parabola's graph is downward (or opens downward). When the value of an is greater than 0, the parabola's graph ascends (or opens up).

Is a parabola a shape?

Every point on a parabola is equally distant from both a focus, or central point, and a directrix, or connecting line. It is a U-shaped curve that frequently appears in math.

Given,

Graph f(x) = $4x^(2)$

Vertex = (-9,2) = (h,k)

So, We can represent the equation in the form of

f(x) = y = a $(x-h)^(2)$ + k

= 4 $(x+9)^(2)$ + 2

Now simplifying the equation y = a $(x-h)^(2)$ + k to y = $ax^(2)$ + bx +c

f(x) = 4 $(x+9)^(2)$ + 2

= $4x^(2)$ + 72x + 326

∴ f(x) = $4x^(2)$ + 72x + 326 is the equation of parabola

Learn more about the parabola here:
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Answer 2

Answer: following f(x)=af(b(x-h))+k as my general guideline for writing transformations, you need to know the point (h,k) serves as the "new origin" of the function.
in your original equation (the squared function),
a=4
b=1
h=0
k=0
we need h=-9 and k=2, so plopping those numbers in gives you
f(x)=4(x+9)^2 +2

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An airplane is traveling at a speed of 200 km/h. Identify the correct conversion factor setup required to compute the speed of the airplane in m/s.

Answers

Answer:

Speed = 55.56 m/s

Step-by-step explanation:

Given:

An airplane is travelling at the speed of 200 km/h.

We need to convert this in meter/second.

1 km = 1000 meters

1 hour = 3600 seconds

Speed = Distance/Time

Speed = (200*1000)/(1*3600)

= 200000/3600 meter/second

Speed = 55.56 m/s

Hope this will helpful.

Thank you.

What is the radius of the circle given by the equation below?

Answers

$x^2+18x+y^2+18y=-146 \n \n( x^2+18x + 81)+(y^2+18y+81)-81-81=-146\n \n(x+9)^2+(y+9)^2=-146+81+81\n \n(x+9)^2+(y+9)^2=-146+162\n \n(x+9)^2+(y+9)^2=16$

$This \ is \ in \ the \ general \ circle \ form : (x-h)^ 2+ (y-k)^2 = r^2, so: \n \n r^2=16 \n \nr=√(16)\n \nr=4 \n \n Answer : \ C. 4$

How far will a jet travel in 2 hours and 30 minutes if its average speed is 450 miles per hour?

Answers

Distance = rate x time

D = 450 mph x 2.5 h
D = 1,125 miles

Well we know that in 1 hour it goes 450 miles. So to figure out how far it goes in 2.5 hours multiply 450 by 2.5 =1125. The jet will go 1,125 miles in 2.5 hours :)

If annual college tuition and fees cost $8675, room and board cost $2235, books are $1850, and other charges are $250 per year, what is the total cost for 1 year of attendance?

Answers

well we have to do 8675 + 2235 + 1850 + 250 which equals $13,010
so the answer is $13,010

13010 because all you need to do is add all of the numbers up

Don has 72 servings of peanut butter and 40 servings of jelly. What day would you run out of both peanut butter and jelly

Answers

If Don eats one serving a day of both he will run out of jelly on day 40
of peanut butter on day 72
if he makes a peanut butter and jelly every day he will run out on day 40

Say you have a warranty on your laptop computer. Which of these situations is most likely to be covered by that warranty?a.
The laptop is stolen.
b.
You short out the hard drive by installing a bigger power supply.
c.
The graphics system fails due to faulty wiring.
d.
The screen cracks when you drop the laptop.

Answers

Option c denotes the laptop warranty.

The information regarding warranty is as follows:

The warranty is provided at the time of delivering the goods.
In the laptop, one -year warranty is given. If there is any defective so it can be replaced by the company.
In the given case, the graphic system fails because of the faulty wiring so this represent the warranty.

Therefore we can conclude that Option c denotes the laptop warranty.

Learn more: brainly.com/question/13549064

Answer:

Say you have a warranty on your laptop computer. Which of these situations is most likely to be covered by that warranty?

a. The laptop is stolen.

b. You short out the hard drive by installing a bigger power supply.

c. The graphics system fails due to faulty wiring.

d. The screen cracks when you drop the laptop.

The answer is C

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