Finding the Equation of a Shifted Conic Find an equation for the conic section with the given properties.
The parabola with vertex and directrix
The equation of the parabola with vertex and directrix .
The vertex of the parabola is .
The directrix of the parabola is .
For an equation in and , if the value of is replaced by , then the graph is shifted horizontally and if the value of is replaced by , then the graph is shifted vertically.
The equation of a parabola with vertex and directrix is given below.
Consider the information provided about the hyperbola.
This implies that the parabola is facing upward.
The distance between the vertex and the directrix is given below.
The value is given below
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started