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zloy xaker [14]
3 years ago
7

Write the equation of the quadratic function in standard form represented by the graph

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0
Vertex is at (-3,-1) so expressing the quadratic function in vertex form:

f(x) = a(x -(-3))^2 + (-1)

= a(x+3)^2 -1

also note when x=0, f(0)=8

8 = a(3)^2 -1 = 9a-1

so a=1

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

= x^2 + 6x + 9 -1

= x^2 +6x + 8

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Triphasil-28 birth control tablets are taken sequentially, 1 tablet per day for 28 days, with the tablets containing the followi
bazaltina [42]

Answer:

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

Step-by-step explanation:

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3}

In which L_{1}, L_{2} and L_{3} are the number of miligrams of levonorgestrel taken in each phase.

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3}

In which E_{1},E_{2} and E_{3} are the number of miligrams of ethinyl estradiol taken in each phase.

We can solve this by phase.

Phase 1: 6 tablets, each containing 0.050 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

6*0.050mg = 0.30mg of levonorgestrel and 6*0.030mg = 0.18mg of ethinyl estradiol are taken.

So L_{1} = 0.30 and E_{1} = 0.18

Phase 2: 5 tablets, each containing 0.075 mg of levonorgestrel and 0.040 mg ethinyl estradiol

In this phase,

5*0.075mg = 0.375mg of levonorgestrel and 5*0.040mg = 0.20mg of ethinyl estradiol are taken.

So L_{2} = 0.375 and E_{2} = 0.20

Phase 3: 10 tablets, each containing 0.125 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

10*0.125mg = 1.25mg of levonorgestrel and 10*0.030mg = 0.30mg of ethinyl estradiol are taken.

So L_{3} = 1.25 and E_{3} = 0.30

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3} = 0.30 + 0.375 + 1.25 = 1.925

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3} = 0.18 + 0.20 + 0.30 = 0.68

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

6 0
3 years ago
Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, th
Marat540 [252]

Answer:

lol brainliest

Step-by-step explanation:

8 0
3 years ago
Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3?
zimovet [89]

Answer:

it opens down meaning it has a maximum instead of a minimum. the graph has a horizontal shift of 3 spaces to the right

Step-by-step explanation:

6 0
3 years ago
-1+19w=11w+23 answer
Greeley [361]

Answer:

w = 3

Step-by-step explanation:

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4 0
3 years ago
2(x - 2) = -4x + 44 what does x equal
Komok [63]
2(x - 2) = -4x + 44

First, expand. / Your problem should look like: 2x - 4 = -4x + 44
Second, add 4 to both sides. / Your problem should look like: 2x = -4x + 44 + 4
Third, simplify -4x + 44 + 4 to get -4x + 48. / Your problem should look like: 2x = -4x + 48
Fourth, add 4x to both sides. / Your problem should look like: 2x + 4x = 48
Fifth, add 2x + 4x to get 6x. / Your problem should look like: 6x = 48
Sixth, divide both sides by 6. / Your problem should look like: x =  \frac{48}{6}
Seventh, simplify \frac{48}{6} to 8. / Your problem should look like: x = 8

Answer: x = 8

5 0
3 years ago
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