Concept explainers
To calculate: The vertex, focus, directrix, and axis of symmetry.
Answer to Problem 18WE
The required vertex, focus, directrix and axis of symmetry of the parabola are
Explanation of Solution
Given information: The equation of the parabola is
Formula used:
Calculation: Rewrite the given equation in to general form of equation,
Now, compare
Now,
The vertex is
The focus is
The directrix is
The axis is
Now, graph the given parabola,
Interpretation:
The blue curve is the graph of
The vertex of the parabola is
The red vertical line is the directrix
The black horinzontal line is the axis of symmetry
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