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Romashka-Z-Leto [24]
4 years ago
8

Find the equation, f(x) = a(x-h)2 + k, for a parabola that passes through the point (0, 0) and has (-3, -6) as its vertex. What

is the standard form of the equation?
Mathematics
1 answer:
Arisa [49]4 years ago
6 0
F(x) = a(x-h)²<span> + k

</span><span><u>Given that the vertex is (-3 -6):</u>

</span>f(x) = a(x + 3)² -6
<span>
<u>Given that it passes through (0.0), find a:</u>

a(0 + 3)</span>² - 6 = 0
<span>
9a - 6 = 0

9a = 6

a = 6/9 =2/3

<u>So the equation is :</u>

</span>f(x) = 2/3(x + 3)² -6
<span>
<u>Write the equation in standard form:</u>

</span>f(x) = 2/3(x² + 6x + 9) - 6

f(x) = 2/3x² + 4x + 6 - 6

f(x) = 2/3x² + 4x
<span>
Answer: </span>f(x) = 2/3x² + 4x<span>


</span>
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Answer: 72

<u>Step-by-step explanation:</u>

There are 9 students to choose from to go the library. After that person is chosen there are 8 students remaining.

First student  and   Second student

           9           x               8                 = 72

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3 years ago
These solids all have the same volume. Which has the least surface area?
ipn [44]

Answer: I’m not sure, but I think it is solid C.

Step-by-step explanation: Please, make sure you have some knowledge when you answer this question. My answer is an educated guess. I do not want to be responsible for your wrong answers.

4 0
3 years ago
I do not need an explanation, just a simple angle number!
Murljashka [212]

Answer:

Step-by-step explanation:

a + 143 = 180    {Linear pair}

a = 180 - 143

a = 37

37 + 93 + b = 180 {Angle sum property of triangle}

130 + b = 180

         b = 180 - 130

         b = 40

c + b = 90

c  + 40 = 90

c = 90 - 40

c = 50

d + 120 = 180   {Linear pair}

d = 180 - 120

d = 60

? = 60 + 40         {Exterior angle property of triangle}

? = 100

3 0
2 years ago
A rectangular sheet of paper has a perimeter of 60cm. When it is folded in half along its longer line of symmetry, the perimeter
Liula [17]

Answer:

Dimensions of the original rectangle:

Length = 19 cm

Width = 11 cm

Step-by-step explanation:

Let

Length = x

Width = y

Original rectangle:

2(Length + width) = 60

2x + 2y = 60

New rectangle has same length with original rectangle but half of the width of the original rectangle when folded

Length = x

Width = 1/2y

2(Length + 1/2width) = 49

2x + y = 49

2x + 2y = 60 (1)

2x + y = 49 (2)

Subtract (2) from (1) to eliminate x

2y - y = 60 - 49

y = 11

Substitute y = 11 into (2)

2x + y = 49

2x + 11 = 49

2x = 49 - 11

2x = 38

x = 38/2

x = 19

Dimensions of the original rectangle:

Length = 19 cm

Width = 11 cm

3 0
3 years ago
Which graph represents the same relation as the set {(-3,2).(5,5) (3,3), (3,-2)}?
UNO [17]

Answer:

if you can elaborate on this i could help you i think i somewhat understand what your trying to ask in this question

Step-by-step explanation: can you elaborate

4 0
3 years ago
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