Find the standard form of the equation of the parabola with a focus at (-8, 0) and a directrix at x = 8

1 answer:

8 0

The best thing to do when finding conic equations from the focus and directrix is to sketch a little graph. When you do this, you can easily identify the vertex right in the middle and can determine if the parabola is vertical or horizontal since it must wrap around the focus. This way you know whether the x or the y is squared. When you sketch the focus and directrix, you will see the vertex is at (0,0) and the parabola is sideways, so the y is squared. now remember your formula is y^2=4px where p is the distance from the vertex to the focus, or you could write x=1/(4p)y^2. Now from 0 to -8 is -8 so that means 4p=-32. This gives you y^2=-32x or x=-1/32y^2. Thsi type of question will also be on your module exam and then the final exam so be sure to practice some:)

You might be interested in

Grant thinks he has reached the point where he has maximized his profit. However, because this can be tricky to determine, he is

Mashcka [7]

Answer:c

Step-by-step explanation:

Profit maximization happens with marginal revenue is equal to marginal cost, so if Grant's assumption was right before selling the extra unit, when he actually sells the extra unit, this will increase his revenue

That's why the answer is c

Marginal revenue will exceed marginal cost

6 0

3 years ago

Subtract seven over eight minus two over three

Stells [14]

Answer:

5/24

Step-by-step explanation:

hope it works for u good luck

4 0

2 years ago

In a class 26 of students, 17 have a brother and 7 have a sister. There are 4 students who do not have any siblings. What is the

Anni [7]

Number of students = 26
Number of students without siblings = 4
⇒ Number of students with at least one siblings = 26 - 4 = 22

Number of students with brothers = 17
Number of students with sisters = 7
⇒ Number of students with both a brother and a sister = 17 + 7 - 22 = 2

P(student has a brother, given that they have a sister) = 2/7

Answer: 2/7

6 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. Graph shows 2

yawa3891 [41]

An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.

The equation for f(x) from the given graph can be written as,

$f(x)=e^{(\ln2)x}-2$