### Home > CCG > Chapter 4 > Lesson 4.2.1 > Problem4-59

4-59.

On graph paper, graph the parabola $y=2x^2-5x-3$.

1. What are the roots ($x\text{-intercepts}$) of the parabola?

Look at the graph. Where does the parabola cross the $x\text{-axis}$?

2. Read the Math Notes box for this lesson. Then solve the equation $2x^2-5x-3=0$ algebraically. Did your solutions match your roots from part (a)?

Use the Quadratic Formula.

One solution is $x=\large\frac{-(-5)+\sqrt{(-5)^{2}-4(2)(-3)}}{2(2)}$ , or $x=3$.

Use the eTool below to graph the parabola.
Click the link at right for the full version of the eTool: 4-59 HW eTool (Desmos)