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3 years ago

How can the equation of a parabola be derived when given the focus and the directrix

1 answer:

7 0

If the focus of a parabola is and the directrix is , find theequation of the parabola. Let ( x 0 , y 0 ) be any point on theparabola. Find the distance between ( x 0 , y 0 ) and the focus. Then find the distance between ( x 0 , y 0 ) and directrix.

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What is the vertex form of 2x^2+12x+14

Finger [1]

Answer:

2 (x + 3)^2 - 2

Step-by-step explanation:

1. Factor the 2 out of the equation (don't forget about it - it will be used later). This gives you x^2 + 6x + 7

2. Subtract the 7 over. This gives you x^2 + 6x = -7

3. Take b (6), divide it by 2 (3), and square it (9). Then add that to both sides of the equation. This gives you x^2 + 6x + 9 = 2

4. Factor the left side of the equation. This gives you (x + 3)^2 = 2

5. Subtract the 2 over. This gives you (x + 3)^2 - 2

6. Remember that 2 we factored out of the equation earlier? Well that goes in front of the parentheses now, giving you the final answer of 2 (x + 3)^2 -2

8 0

4 years ago

A fair number cube is rolled. what is the probability that an odd number is rolled?

romanna [79]

Suppose you roll a red number cube and a blue number cube. What is the probability that you will roll a 5 on the red cube and a 1 or 2 on the blue cube?

4 0

3 years ago

the graph of y=|x| is transformed as shown in the graph below , which equation represents the transformed function

statuscvo [17]

Answer:

$y=|\frac{1}{4}x|$

Step-by-step explanation:

Given that

transformed graph of the parent graph y=|x|

The transformed function is shown below:-

We see the graph at y=1 x reaches to 4 i.e, x=4

In the Same manner at y = 1

and x reaches to -4

that is

x=-4

Now, as per the options that are given in the question

The graph would be satisfied these two points would become transformation

$y=|\frac{1}{4}x|$

Now,

At x=4

$y=|\frac{1}{4}x|$

$y=|\frac{1}{4}(4)|$

y = 1

we can say that the point totally satisfied the equation.

So, Option 1 is right that is

$y=|\frac{1}{4}x|$

With the help of a diagram we can go through as attached.

3 0

4 years ago

Write variable expressions to describe the pharse. 1.A fifteenth of a number, p. 2.9 more than twice a number, w. 3.sixteen incr

Marat540 [252]

Answer:

2.5

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP ME!!!!! A. f(4)=7 B. f(1)=0 C. f(-1)=2 D. f(-2)=0

ololo11 [35]

I believe the answer would be C.

6 0

3 years ago

Read 2 more answers