Chapter 11, Problem 25RE

To determine

To find: The equation of the conic when graph is given.

Answer to Problem 25RE

Equation of parabola is $y^2=8x$

Explanation of Solution

Given information:

Equation and graph of conic is given

  

Calculation:

According to the graph shown, we can guess that it is parabola.

Graph as vertex at $\left(0,0\right)$

The standard equation of the parabola, as shown in the graph can be written as

  $y^2=4ax$

Where $a=\text{focus}$

  $\begin{array}{l}a=2\\ y^2=8x\end{array}$

The Equation of parabola $\Rightarrow y^2=8x$