Angle Bisector Solve for Y

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

jackson kitten weighed 2 pounds 3 ounces a month later the kitten weighed 56 ounces. how munch weight did the kitten gain in tha

ddd [48]

16 ounces = 1 pound

2x16 + 3 = 35

56 - 35 = 21

21 ounces

5 0

4 years ago

Read 2 more answers

You must accumulate 790 points to achieve your goal this month. If you work 22 business days this month, how many points must yo

Digiron [165]

Answer:

36 points each day.

Step-by-step explanation:

We have been given that we must accumulate 790 points to achieve our goal this month.

To find the number of points earned each day, on average, we will divide total number of points achieved in a month by number of business days we worked.

$\text{ Points earned each day on average}=\frac{790}{22}$

$\text{ Points earned each day on average}=35.9090909\approx 35.91$

If we need an integer answer, we can round 35.91 to 36. Therefore, we must earn 36 points each day, on average to meet our goal.

8 0

4 years ago

explain how to use the missing pieces strategy to compare two fractions. Include a diagram with your explanation.

arlik [135]

<span>The missing pieces strategy is another method to compare two fractions. To tell which number is larger, you ned to see which one is missing less. For example you have ¾ versus 4/5. Each of these fraction needs 1 to complete the whole. You need to subtract the numerator with one to compare them. For ¾ we have ¼ and for 4/5 we have 1/5. You know that if you complete 4/5 you will get 5 and for ¾ you will get 4. You know that 5 is greater than four. Therefore, 4/5 is larger than ¾.</span>

8 0

3 years ago

*2. For each of the following discriminant state what it indicates about the number of

n200080 [17]

Answer:

b. b² - 4ac = 0

8 0

2 years ago