Find the vertex, focus, and directrix for the parabola. y=1/2x^2

Cristofer Graves 2022-07-27 Answered
Find the vertex, focus, and directrix for the parabola.
y = 1 2 x 2
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

agyalapi60
Answered 2022-07-28 Author has 17 answers
equation of parabola
y = x 2 / 2
x 2 = 2 y
x 2 = 4 ( 1 / 2 ) y
vertex = (0,0);
focus = (0,1/2);
equation of directrix is y + (1/2) = 0
( 2 y + 1 ) / 2 = 0
2 y + 1 = 0
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).
a) with what speed do the entwined foes start to slide acrossthe floor?
b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

asked 2020-10-18
Find a least squares solution of Ax=b by constructing and solving the normal equations.
A=[311114],b[111]
x=?
asked 2021-09-14
The given equation involves a power of the variable. Find all real solutions of the equation.
8x264=0
asked 2022-09-13
Which of the numbers 3,12,14 is the root of the equation 72:b+13=19?
asked 2022-11-18
Write the equation of the ellipse formed by foci (6,2) and (10,2) and having a minor axis of length 10.
asked 2022-05-19
What is the value of s such that 20s+4=11s-2?
asked 2022-08-08
You are on a negotiating panel in a union hearing for a large corporation. The union is asking for a base pay of $9.25 peryear plus an additional piecework rate of $0.80 per unitproduced. The corporation is offering a base pay of $6.85 perhour plus a piecework rate of $1.15.
1. After forming linear equations for each payscheldule, find the point of intersection.
2. Interpret the meaning of the point of intersection ofthe graphs. How would you use this information to advise the corporation or the union?