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Vilka [71]
3 years ago
10

Find the standard form of the equation of the parabola with vertex at the origin focus (-2,0)

Mathematics
1 answer:
svp [43]3 years ago
7 0
Vertex = (0, 0)
focus = (-2, 0)
p = -2 - 0 = -2
Required equation is (y - k)^2 = 4p(x - h); where (h, k) = (0, 0), the vertex
(y - 0)^2 = 4(-2)(x - 0)
y^2 = -8x

Required equation in standard form is x = -1/8 y^2
You might be interested in
Which is the equation of a line that has a slope of -2/3 and passes through point (-3, -1)? y=-2/3x+1.
bazaltina [42]

Answer:

y = -2/3x - 3

Step-by-step explanation:

First, write the equation using the slope. It should look like this: y = -2/3x + b. Next, find the y intercept by plugging in the point. This is what it looks like: -1 = -2/3(-3) + b. Multiply -2/3 by -3 to get 2. This is what it should look like now: -1 = 2 + b. Subtract 3 from both sides to get -3 = b. Go back to your original equation and plug in -3 for b. This is your final equation:

y = -2/3x - 3

Hope this helped! :)

7 0
3 years ago
PLEASE HELP ITS DUE TODAY!!! Write an equation in which the quadratic expression 2x^2-2x 12 equals 0. Show the expression in fac
stepladder [879]

This is the function

{2x}^{2}  - 2 {x}^{1}  + 12

Then factor 2 out

2(x^2- x + 6) = 0

Divide both side by two and use the quadratic formula to get the following

(x - 3)(x + 2) = 0

X=3 And x=-2 and don't forget to Chek them

3 0
3 years ago
Which is the graph of the linear inequality 1/2 x-2y>-6 ?
larisa86 [58]

Answer:

<h2>Your Answer is C!!!!!!!!!</h2>

Steps:

\frac{1}{2} x-2y>-6

Add 2y to both sides:

\frac{1}{2} x-2y+2y>-6+2y

Simplify:

\frac{1}{2}x>-6+2y

Multiply both sides by 2:

2·\frac{1}{2}x>-2·6+2·2y

Simplify:

x>-12+4y

5 0
3 years ago
A square garden has sides 100 ft long. You want to build a brick path along a diagonal of the square. How long will the path be?
denis-greek [22]
100^2+100^2=c^2
10,000+10,000=c^2
20,000=c^2
141=c
7 0
3 years ago
what is the answer help me
tankabanditka [31]

Answer:

B. 30°

Step-by-step explanation:

By remote interior angle theorem:

100° = x + 70°

100° - 70° = x

30° = x

x = 30°

6 0
3 years ago
Read 2 more answers
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