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Savatey [412]
3 years ago
8

Equation for parabola that has points (-4,2) (0,2) (-2,3)

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Step-by-step explanation:

What is the equation of the parabola that has a vertex at

(

−

4

,

2

)

and passes through point

(

−

7

,

−

34

)

?

To solve this you need to use the vertex form of the equation of a parabola which is

y

=

a

(

x

−

h

)

2

+

k

, where

(

h

,

k

)

are the coordinates of the vertex.

Explanation:

The first step is to define your variables

h

=

−

4

k

=

2

And we know one set of points on the graph, so

x

=

−

7

y

=

−

34

Next solve the formula for

a

y

=

a

(

x

−

h

)

2

+

k

−

34

=

a

(

−

7

+

4

)

2

+

2

−

34

=

a

(

−

3

)

2

+

2

−

34

=

9

a

+

2

−

36

=

9

a

−

4

=

a

To create a general formula for the parabola you would put in the values for

a

,

h

, and

k

and then simplify.

y

=

a

(

x

−

h

)

2

+

k

y

=

−

4

(

x

+

4

)

2

+

2

y

=

−

4

(

x

2

+

8

x

+

16

)

+

2

y

=

−

4

x

2

−

32

x

−

64

+

2

So the equation of a parabola that has a vertex at

(

−

4

,

2

)

and passes through point

(

−

7

,

−

34

)

is:

y

=

−

4

x

2

−

32

x

−

62

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4 0
3 years ago
The admission fee at a carnival is $5 for children and $8 for adults on Friday, 1250 people attended the carnival and $7300 was
ASHA 777 [7]

Answer:

-> a + c = 1250 ____________ (1)

-> 8a + 5c = 7300 __________(2)

There were 900 children and 350 adults.

Step-by-step explanation:

Let the number of children at the carnival be c.

Let the number of adults at the carnival be a.

The admission fee at a carnival is $5 for children and $8 for adults on Friday.

1250 people attended the carnival and $7300 was collected. This means two things:

-> a + c = 1250 ____________ (1)

-> 8a + 5c = 7300 __________(2)

We now have a system of equations representing the problem.

To solve, make a subject of formula in (1):

a = 1250 - c _______(3)

Put (3) in (2):

8(1250 - c) + 5c = 7300

10000 - 8c + 5c = 7300

10000 - 7300 = 3c

3c = 2700

c = 2700 / 3 = 900

Put the value of c back in (3):

a = 1250 - 900 = 350

Therefore, there were 900 children and 350 adults at the carnival.

4 0
3 years ago
How many significant figures are in 0.0624000?
Dafna11 [192]

Answer:

Use notes and youll get an answer

Step-by-step explanation:

4 0
3 years ago
Which of the following expressions are equivalent to this expression:
Gekata [30.6K]

The original expression is equal to 0 because anything multiplied by 0 is equal to 0. Solve inside the brackets for the possible answer choices to find what will equal 0.

Start with the first expression. Add 4 and negative 4 will become 0, and -1 times 0 is equal to 0. Let's solve for the others just to be sure.

In the second expression, solving inside the brackets gives you 8. -1 times 8 is equal to -8.

Adding 4 and negative 4 in the third expression leaves you with 0. But, 1 + 0 is equal to 1.

Adding negative 4 and negative 4 gives you the answer of -8, and -1 times -8 is equal to 8.

Your answer is the first expression, or A.

6 0
3 years ago
Read 2 more answers
I NEED THEM ASAP 20 Points
Mrrafil [7]

Answer: (i think these are right)

experimental: 27.08% theoretical: 50% ?

8 0
3 years ago
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