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earnstyle [38]
2 years ago
15

What is the equation of the graph

Mathematics
1 answer:
AveGali [126]2 years ago
5 0

Answer:

y = 2x^2 + 1

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

y = a*x^2 + b

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

3 = a * (1)^2 + 1\\2 = a

Awesome, we've found both values. And we can write the result.

y = 2x^2 + 1

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

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Read the picture that's were the question is.
vlabodo [156]

Answer:

X is your answer bc when coordinates are flipped over the x-axis the y coordinate goes negative

4 0
3 years ago
You have 4 cards, 2 black and 2 red. You play a game where during each round you draw a card. If it's black, you lose a point. I
sineoko [7]

Answer: The expected value of this game is 2/3

Step-by-step explanation:

Give that

If it's black, you lose a point. If it's red, you gain a point. 

And then you can stop at any time. But you should never stop when you are losing because that can guarantee 0 by drawing all the cards.

Assuming you should stop after three cards when you are +2.

The only question is whether to draw if you are +1 on the first draw.

If you draw red first, You have 1/3 chance of drawing red again and this will give you +2 points

1/3 chance of drawing two blacks and earn zero point, chance of drawing black-red and earn +1. This gives +1, so it doesn't matter whether you draw or not.

From the beginning, If you draw red (probability 1/2 you end +1. If you draw black and then draw two reds (probability 1/6 you end +1) Otherwise you break even with probability 1/3. Overall, the value is 2/3

8 0
3 years ago
Rewrite the equation of the parabola in vertex form.
aleksandrvk [35]
The answer would be y=(x+4)^2-37
5 0
2 years ago
Х у
erica [24]

Answer:

A. Linear

Step-by-step explanation:

As the x value goes up by 1, the y value goes up by 3 each time

8 0
1 year ago
If UV = 8x, VW=x+1, and UW=10,what is VW?
jok3333 [9.3K]

Applying the segment addition theorem, the length of line segment VW is: 2 units.

<h3>What is the Segment Addition Theorem?</h3>

The segment addition theorem states that the sum of the lengths of two segments that make up a larger line segment equals the measure of the larger line segment, if the point on the line segments are collinear.

UV = 8x

VW = x+1

UW = 10

UV + VW = UW (segment addition theorem)

Substitute the values

8x + (x + 1) = 10

Open bracket

8x + x + 1 = 10

Combine like terms

9x + 1 = 10

Subtract 1 from both sides

9x + 1 - 1 = 10 - 1

9x = 9

Divide both sides by 9

9x/9 = 9/9

x = 1

VW = 8x + (x + 1)

Plug in the value of x

VW = x + 1

VW = 1 + 1

VW = 2 units.

Therefore, applying the segment addition theorem, the length of line segment VW is: 2 units.

Learn more about the segment addition theorem on:

brainly.com/question/1397818

#SPJ1

7 0
2 years ago
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