### Home > AC > Chapter 11 > Lesson 11.1.1 > Problem11-14

11-14.

For the parabola $y = 2x^{2} − 7x + 3$:

1. Give the coordinates of the y-intercept.

At the y-intercept, $x = 0$.

y-intercept: $\left(0, 3\right)$

2. Give the coordinates of the two x-intercepts. Explain how you found them.

• At the x-intercept, y = 0.

• Substitute 0 for y and factor the equation.

• $\left(2x − 1\right)\left(x − 3\right) = 0$

• Use the Zero Product Property to solve for x.

• x-intercepts: $\left(0.5, 0\right)$ and $\left(0, 3\right)$