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otez555 [7]
3 years ago
14

What is the vertex form of y = x2 + 8x – 3

Mathematics
1 answer:
9966 [12]3 years ago
6 0

Answer:

(-4,-19)

Step-by-step explanation:

y = x² + 8x - 3

y = x² + 2(x)(4) + 4² - 4² - 3

y = (x + 4)² - 16 - 3

y = (x + 4)² - 19

Vertex: (-4,-19)

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How do you know if a function is quadratic??
Anestetic [448]

Answer:

Usually it's in standard form: ax²+bx+c

or vertex form: y=a(x-h)²+k

If you put the graph into a graphing calculator it's going to look like a hill/depression.

Step-by-step explanation:

Standard form ex: 3x²+2x+1

Vertex form ex: y=4(x-1)²-2

7 0
2 years ago
Read 2 more answers
PLEASE I DESPERATELY NEED HELP WITHH THIS!!!!!!! I’ll give brainless and extra points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Rina8888 [55]

Answer:

1. 4x + 6

2. -15x + 11

5. -x + 4

6. -4x + 7

9. 5x - 2

12. x + 16

Step-by-step explanation:

Remove the parenthesis for each one so everything's out in the open. Next, you group like terms. The numbers with variables on one side, and the other numbers on the other side. For example:

x + 3x - 2 + 8

Then, you combine like terms:

4x + 6

That's mostly how you do each one.

8 0
2 years ago
as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n
qaws [65]
The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth 
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
                                                            = 96/2 
                                                            = 48 candies

Hope this helps :)

4 0
3 years ago
The cylindrical container shown below can be completely filled with 24 litres of water. The base area of the container is 600 cm
Virty [35]

Answer:

40cm

Step-by-step explanation:

volume of a cylinder= πr²h

V=24litres, Area=πr²=600cm², height=?

converting litres to cm³

1litre=1000cm³

24litres= 24×1000

=24000cm³

24000=600× h

h= 24000/600

= 40cm

5 0
2 years ago
What is the slope of the line shown in the graph?
Vilka [71]

Answer:

1/2

Step-by-step explanation:

from point to point, you rise by one and run to the right by two

therefore, slope = 1/2

5 0
2 years ago
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