Q. 96 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 89–96, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window.

$2x^2-3y=35$

Step-by-Step Solution

Answer

The $x$ intercepts are $\left(-4.18,0\right)$ and $\left(4.18,0\right)$.

The $y$ intercept is $\left(0,-11.67\right)$

Step 1. Given Information

The given quadratic equation is $2x^2-3y=35$

Step 2. Create the table for values of x , y

Step 3. Plot these points and connect them

Step 4. Finding x intercept

Put $y=0$

$$\begin{gathered} 2x^2-3y=35 \\ 2x^2=35 \\ {x}^2=17.5 \\ x=-4.18 or 4.18 \end{gathered}$$

Step 5. Finding y intercept

Put $x=0$

$$\begin{gathered} 2x^2-3y=35 \\ -3y=35 \\ y=-11.67 \end{gathered}$$