SOLUTION: Find the equation of the parabola with vertex at (-3, 1) and the focus at (1, 1). Sketch the graph.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equation of the parabola with vertex at (-3, 1) and the focus at (1, 1). Sketch the graph.      Log On


   

Question 1170338: Find the equation of the parabola with vertex at (-3, 1) and the focus at (1, 1). Sketch the graph.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Concave the the right, horizontal symmetry axis, according to the given focus and vertex.

Quick sketch shows distance between vertex and focus is 4.

4p%28x-h%29=%28y-k%29%5E2
4%2A4%28x%2B3%29=%28y-1%29%5E2
highlight%2816%28x%2B3%29=%28y-1%29%5E2%29


graph%28500%2C500%2C-9%2C9%2C-9%2C9%2C1%2Bsqrt%2816x%2B48%29%2C1-sqrt%2816x%2B48%29%29
(the skip in the middle is unintended)