   Chapter 10.1, Problem 20E

Chapter
Section
Textbook Problem

# Finding the Standard Equation of a Parabola In Exercises 17-24, find the standard form of the equation of the parabola with the given characteristics. Vertex:  ( 2 ,   4 ) Points   on the parabola: ( 0 ,   0 ) ,   ( 4 ,   0 )

To determine

To calculate: The standard form of equation of the parabola with the vertex (2,4) and points on the parabola (0,0) and (4,0).

Explanation

Given:

The vertex (2,4) and points on parabola (0,0) and (4,0).

Formula used:

The standard equation of parabola is, (xh)2=4p(yk)

Calculation:

The given points on the parabola are on a line which is parallel to xaxis.

Therefore, it’s a negatively U-shaped parabola with the equation type (xh)2=4p(yk)

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