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weqwewe [10]
4 years ago
15

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

Mathematics
1 answer:
otez555 [7]4 years ago
6 0

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

Let's simplify this equation

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

Distribute the negative sign

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

Combine like terms

g(x) = -x^2 - 2x - 2

The value of a = -2 and this value is LESS THAN 0

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damaskus [11]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change)  and "rise" (vertical change) between the marked points.

In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.

The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.

If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)

4 0
4 years ago
Two factors of 18 add up to 12. What are they?
stepladder [879]

Answer:

3 and 9

Step-by-step explanation:

The factors of 18 can be listed as

1, 2, <u>3</u>, 6, <u>9</u>, 18

The two which sum to 12 are 3 and 9

7 0
3 years ago
5a - 7 = 0.1a - 0.14
DIA [1.3K]

Answer: a=1.4

Step-by-step explanation:

move the 0.1a to the other and the 7 to the other side which will make the  7 positive and the 0.1a negative.

5a-0.1= 4.9a

-0.14+7=6.86

dive both sides by 4.9 and you get

a=1.4

6 0
1 year ago
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BlackZzzverrR [31]
The scale factor is positive 4.
5 0
3 years ago
E
KonstantinChe [14]
The bench costs $450.
You first need to subtract the difference between the garden table and the bench from the total so they are equivalent, and then divide by two to find what the bench is on its own.
(The garden table costs $536, by the way. To find that, you just need to add its half of 900, 450, to the 86 you subtracted initially.)
Tell me if this doesn’t make sense, it’s sort of hard to explain!

4 0
3 years ago
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