Question

Sarina throws a ball up into the air, and it falls on the ground nearby. The ball's height, in feet, is modeled by the function ƒ(x) = –x2 – x + 3, where x represents time in seconds. What's the height of the ball when Sarina throws it? Question 4 options: A) 4 feet B) 1 foot C) 3 feet D) 2 feet

Answer 1

(C) 3 feet

Explanation:

We have a function of f(x) here. When Sarina throws the ball, it has been 0 seconds since she threw it.

Since x represents the amount of seconds, we can find the height of the ball (f(x)) by substituting x in as 0.

`-0^2 - 0 + 3`

0 squared is 0, 0 minus zero is 0, and 0+3 = 3, so

`f(x) = 3`

Meaning that when Sarina threw the ball, it's height was 3 feet.

Hope this helped!