SOLUTION: (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
(a)___________ _________
(b)___________ _________ please help
Algebra ->
Quadratic-relations-and-conic-sections
-> SOLUTION: (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
(a)___________ _________
(b)___________ _________ please help
Log On
Question 93470This question is from textbook
: (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
(a)_____________________
(b)_____________________ please help This question is from textbook
You can put this solution on YOUR website! (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
---------------
Vertex Form for a parabola: (x-h)^2 = 4p(y-k)
vertex at (0,0) means h = k = 0
----------------------
You now have x^2 = 4py
---------------------
focus at (0,4) means the distance from vertex to focus = 4
p = 4
4p = 16
--------------
EQUATION:
16y = x^2
y = (1/16)x^2
-----------------
===============
Cheers,
Stan H.
(