I’ll mark u as brainliest

A parabola can be drawn given a focus of ( - 8,0) and a directrix of y= - 2 What can be said about the parabola?

Tcecarenko [31]

Answer:

The equation of the parabola is:

y

=

1

32

x

2

Explanation:

Please notice that we know that the parabola opens upward or downward, because the directrix is a horizontal line:

y

=

−

8

This tells use that the equation of the parabola of the form:

y

=

f

(

x

)

Not

x

=

f

(

y

)

.

Furthermore, we can see that it must open upward, because the y coordinate of the focus is above the directrix.

The vertex has the same x coordinate as the focus:

x

=

0

And its y coordinate is halfway between the focus and the directrix:

y

=

8

−

8

2

=

0

Therefore the vertex is

(

0

,

0

)

Use the vertex form of the equation of a parabola that opens upward or downward:

y

=

a

(

x

−

h

)

2

+

k

where the vertex is the point

(

h

,

k

)

.

Substitute the vertex into the equation:

y

=

a

(

x

−

0

)

2

+

0

Simplify:

y

=

a

x

2

The distance, f, from the vertex to the focus is,

f

=

8

; this allows use to find the value of

a

, using the equation:

a

=

1

4

f

a

=

1

32

The equation of the parabola is:

y

=

1

32

x

2

Step-by-step explanation:

7 0

3 years ago

Help please I’m stuck lol

slamgirl [31]

Hi the answer to ur question is a:BTW I stuck to LOLOL

5 0

3 years ago

Diana put $8000 in a 10-year CDpaying 5% interest compoundedmonthly. After 2 years, shewithdrew all her money, and as anearly wi

Svet_ta [14]

Answer:

$8,430.23

Explanation:

From the statement of the problem:

• The principal amount = $8,000

,

• Interest Rate = 5%

,

• Compounding Period = 12 (Monthly)

The compound interest formula is given as:

$A(n)=P\left(1+\frac{r}{k}\right)^{nk}$

Using the compound period formula, we first, calculate the amount in her account at the end of 1 year.

$\begin{gathered} A(1)=8000\left(1+\frac{0.05}{12}\right)^{12\times1} \\ A(1)=\$8409.30 \end{gathered}$

This means that the interest she made during the first year is:

$\text{ Interest during the first year}=8409.30-8000=\$409.30$

Next, calculate the amount in her account at the end of the second year.

$\begin{gathered} A(2)=8000\left(1+\frac{0.05}{12}\right)^{12\times2} \\ A(2)=\$8839.53 \end{gathered}$

Since she paid back all the interest she made during the first year, the amount Diana was left with is:

$\begin{gathered} 8839.53-409.30 \\ =8,430.23 \end{gathered}$

Diana was left with $8,430.23.

6 0

1 year ago

A florist divides 48 roses, 24 tulips, and 36 sunflowers into

kvv77 [185]

There are 4 roses in each arrangement

3 0

3 years ago

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Pedro has determined that the probability his shot will score in a lacrosse game is 0.30. What is the probability that he will s

antiseptic1488 [7]

That would be 0.30 * 0.30 = 0.09 Answer

4 0

3 years ago

Read 2 more answers