SOLUTION: Express the equation, in standard form, of the parabola that satisfies the given condition. Vertex at (-6,-4) focus at (1,-4)

Algebra.Com
Question 861730: Express the equation, in standard form, of the parabola that satisfies the given condition. Vertex at (-6,-4) focus at (1,-4)
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Express the equation, in standard form, of the parabola that satisfies the given condition. Vertex at (-6,-4) focus at (1,-4)
***
Given data shows parabola open right.
Its basic form of equation: (y-k)^2=4p(x-h), (h,k)=coordinates of vertex
vertex(-6,-4)
axis of symmetry: y=-4
p=7 (distance from vertex to focus on the axis of symmetry)
4p=28
equation of given parabola: (y+4)^2=28(x+6)

RELATED QUESTIONS

In 1 and 2, do the following: a) Write the equation of the parabola in standard form. (answered by greenestamps)
The standard form equation of the parabola with vertex at (-6, -4) and focus at (0,... (answered by josgarithmetic)
Find the equation of parabola in standard form having the given properties a. Vertex at (answered by htmentor)
What is the standard form equation of the following parabola? Vertex at the origin,... (answered by josgarithmetic)
Find the equation in standard form of the parabola with vertex at the origin and focus... (answered by josgarithmetic)
Find an equation for the parabola that has its vertex at the origin and satisfies the... (answered by MathLover1)
The standard form of the equation of the parabola with it's vertex at (0,0) and focus at... (answered by lwsshak3)
Find an equation for the parabola that has its vertex at the origin and satisfies the... (answered by lwsshak3)
Use the information provided to write the vertex form equation of each parabola. Vertex... (answered by ewatrrr)