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Semmy [17]
1 year ago
11

Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward

Mathematics
1 answer:
Mrac [35]1 year ago
7 0

We know that the parabola opens downwards because it has a negative leading coefficient.

<h3></h3><h3>Why the parabola opens downwards?</h3>

For any polynomial, the leading coefficient is the coefficient in the term where is the large exponent of the polynomial.

The sign of that coefficient will determine the end behavior of the graph of the polynomial.

For the case of the parabola, a positive leading coefficient means that the parabola opens upwards, while a negative leading coefficient will mean that the parabola opens downwards.

Now, if you look at our parabola:

g(x) = -(x + 1)^2 - 3

You can see that there is a negative sign, thus when we expand the parenthesis, we will end up with a negative leading coefficient:

g(x) = -x^2 - 2x + 1 - 3 = -x^2 -2x - 2

So we know that the parabola opens downwards.

If you want to learn more about parabolas:

brainly.com/question/4061870

#SPJ1

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1 yard is = to 3 feet.
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3 years ago
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The height of a window is 0. 6 feet less than 2. 5 times its width. If the height of the window is 4. 9 feet, which equation can
liubo4ka [24]

The equation which is used to determine x, the width of the window is, 2.5x- 0.6 = 4.9.  Option B shows the correct expression for width x of the window.

<h3>What are length and width?</h3>

Length is describing how long is the object. The width is defined as how wide is the object.

Given that the width of the window is 4.9 feet. The length is given as 0.6 feet less than 2.5 times its width.

The height of the window is given as,

H = 4.9

The other height of the window is given as,

H = 2.5 x - 0.6

When equating both equations, we get,

2.5x- 0.6 = 4.9

Therefore, an equation which is used to determine x, the width of the window is, 2.5x- 0.6 = 4.9.  Option B shows the correct expression for width x of the window.

To know more about the length and width, follow the link given below.

brainly.com/question/3133832.

3 0
2 years ago
The height of a painting is 48 ronded ft. Between which two consecutive whole numbers is 48 rounded
Karolina [17]

Answer:

47 and 49

Step-by-step explanation:

This would not be between two consecutive whole numbers. Any number from 47.5 and less than 48 would round up, and any number from 48 to less than 48.5 would round down. It might be consecutive odd numbers that you meant, or your question is not clear enough.

3 0
3 years ago
Given two fair dice, find the probability of rolling a sum of 8 on the two dice.
bekas [8.4K]
With a dice right is it math I’m confused
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What is the LCM of 4 and 18
Verizon [17]

Answer:

36

Explanation:

Multiples of 4 are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,...

Multiples of 18 are:

18, 36, 54, 72, 90, 108, 126, 144,...

The least common multiple of 4 and 18 is 36.

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2 years ago
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