College Algebra
posted by Joy .
Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Passes through the point (5, 1/8); vertical axis.
There is no focus of the parabola or equation given, so how am I suppose to solve this problem?

College Algebra 
Steve
Since the axis is vertical, you know it's
y = a(xh)^2 + k
Since the vertex is at (0,0), you know that h=k=0, and thus
y = ax^2
1/8 = 25a
a = 1/200
so,
y = 1/200 x^2
All the data you needed was there. Just gotta read it carefully.
Respond to this Question
Similar Questions

Alg II/Trig
A parabola has a vertex at (0,0); a horizontal axis; and the point (12,6) is on the parabola. Write the equation of the parabola in standard form. 
pre cal
What is the center of the conic whose equation is x^2 + 2y^2  6x + 8y = 0 2.Which one of the following equations represents a hyperbola? 
MATH
a parabola passes via the points (1.5,1) and (3,5). given that the vertex lies on the line 7x+3y4=0,find the focus and the equation of the parabola 
college algebra
find the equation of a parabola that opens to the right with given vertex: (0,3) and passes through the point: (2,1) 
algebra
Suppose a parabola has a vertex (4,7) and also passes through the point (3,8) Write the equation of the parabola in vertex form. f(x)=a(xh)^2+k I believe h=4 k=7 Not sure what to do from here. 
College Algebra
Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Passes through the point (1, 1/8); vertical axis. There is no focus of the parabola or equation given, so how am I suppose … 
Algebra 2
Find the equation for the parabola with the given vertex that passes through the given points. vertex (4,2) point (3,0) please show work!!! 
algebra
Suppose a parabola has vertex (4,7) and also passes through the point (3,8), write the equation of the parabola in vertex form. 
Algebra
Suppose a parabola has an axis of symmetry at x = 2, a minimum height at 6, and passes through the point (0, 10). Write the equation of the parabola in vertex form. 
Algebra
Can you please help me with the below question: The vertex of a parabola is located at (12, 1). The parabola also passes through the point (10, 5). Write the equation of this parabola in both vertex form and standard form. Vertex …