### Home > INT2 > Chapter 5 > Lesson 5.1.4 > Problem5-43

5-43.

Based on the tables below, what are the $x$- and $y$-intercepts of the corresponding graphs? Use the fact that the relationship shown in the table in part (b) is quadratic to write an equation to represent the relationship.

1. $x$

$y$

$3$

$0$

$0$

$16$

$–5$

$0$

$–1$

$–8$

$6$

$22$

$3$

$0$

1. $x$

$y$

$7$

$–27$

$1$

$0$

$10$

$–67.5$

$0$

$–2.5$

$2.5$

$0$

$–7$

$–76$

1. $x$

$y$

$0$

$–16$

$–5$

$11$

$3$

$–2$

$8$

$0$

$13$

$27$

$–6$

$14$

The $x$-intercept occurs when $y = 0$ and the $y$-intercept occurs when $x = 0$.