Concept explainers
To write: The equation of the graph given below.
Answer to Problem 2CFU
Explanation of Solution
Given information: The graph:
Calculation:
This is the template for a vertical parabolic equation. The variables stand for as follows,
Value of vertex: h = x
Value of vertex: k = y
The distance from vertex to focus or vertex to directrix = p
I have now simply substituted the values of the vertex for the values h and k .
Simply count the distance between the vertex and focus then multiply the distance by 4. Make sure to put the negative sign if picture is showing parabola opening down or left. In this case the p value was − 4.
Thus,
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