Check Up

Carter and Jordan are warming up for their ball game by playing catch with a softball. They are standing \(12\) metres from each other, and they each catch the softball in their gloves, \(1.5\) metres above the ground. When Carter throws the ball to Jordan, it reaches a maximum height of \(2.5\) metres.

• Let \(x\) be the horizontal distance, in metres, between Carter and the softball.

• Let \(f(x)\) be the height, in metres, of the softball.

1. Sketch a graph that models the flight path of the softball thrown by Carter.
   
   
2. Determine a quadratic function, in standard form, that models the softball’s flight path.
   
   
3. How far away from Carter does Jordan need to be to catch the ball \(1\) metre from the ground? Round to the nearest hundredth.