SOLUTION: Find an equation of the parabola in standard form having the given properties. Draw a sketch of the parabola ( make sure to emphasize all of the properties of the parabola) A. v

Question 1168614: Find an equation of the parabola in standard form having the given properties. Draw a sketch of the parabola ( make sure to emphasize all of the properties of the parabola)
A. vertex at (2,4), focus at (-3,4)
B. vertex at origin, opens upward, length of latus rectum is 4 units
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
A quick sketch and simple computation shows that directrix is x=7, or all points in the plane, (7,y).

Distance from (x,y) to (-3,4) is equal to distance from (x,y) to (7,y).

Setup using the Distance Formula definition for parabola and start with

.
.
Upon doing the algebra steps an equation found .

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