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egoroff_w [7]
3 years ago
13

Y = −(x + 4)2 − 7 vertex

Mathematics
2 answers:
zmey [24]3 years ago
8 0

Answer:

The vertex is (-4,-7)

Step-by-step explanation:

The vertex form of a parabola is given by:

y=a(x-h)^2+k, where (h,k) is the vertex and a is the leading coefficient.

The given parabola has equation:

y=-1(x+4)^2-7

When we compare to the vertex form, we have

-h=4\implies h=-4 and k=-7.

Therefore the vertex is (-4,-7)

ICE Princess25 [194]3 years ago
3 0

Answer:

The vertex (h,k) is (-4,-7).

Step-by-step explanation:

I assume you are looking for the vertex y=-4(x+4)^2-7.

The vertex form of a quadratic is y=a(x-h)^2+k where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.

Anyways if you compare y=-4(x+4)^2-7 to y=a(x-h)^2+k , you should see that a=-4,h=-4,k=-7.

So the vertex (h,k) is (-4,-7).

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Select the scenario that correctly represents the given graph.
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Answer:

C. The vertical distance of a roller coaster from the ground changes with respect to its horizontal distance from the beginning of the ride.

Step-by-step explanation:

See how the graph is in a "U" shape? That tells us that it first decreases and then goes back up at some point.

The way you would find this answer is to go through each scenario (A, B, C, and D) and think about which thing would make sense to go down and then up.

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A bowl has 9 green grapes and 13 grapes. Henry randomly chooses a grape, and eats it, and then choose a another grape What is th
Sunny_sXe [5.5K]

Answer:

\frac{72}{462} or \frac{12}{77} (simplified)

Step-by-step explanation:

Based on the information provided within the question it can be said that in order to calculate the probability of both grapes being green we need to find the probability of each grape being green separately and then multiply those probabilities together

In the first choice, there are a total of 22 grapes (9+13), 9 of which are green. Therefore the probability of the first chosen grape being green is \frac{9}{22}

In the second choice,since we removed one grape there is now a total of 21 grapes (22-1), 8 of which are green. Therefore the probability of the second chosen grape being green is \frac{8}{21}

Now we multiply both probabilities together to calculate the probability that both grapes are green in a sequence.

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