Ball in Air Quadratics

How do I find…

The time it takes to get to the highest point?

• Find the x-value of the vertex

• Find the y-value of the vertex

• Find the y-intercept

• Find the x-intercepts and choose positive value

Vincent is trying to find how many seconds it will take a golf ball to get to its highest point after being hit on the golf course. Which one are we looking for?

• x at vertex

• y at vertex

• positive zero

Mikkel threw a foam soccer ball in the air. Cameron wanted to find out how high the soccer ball got given that it took 1 second to get to its highest point.

Which one are we looking for?

• x at vertex

• y at vertex

• positive zero

A baseball is hit into the air. The height of the baseball, in feet, as a function of time, in seconds, is represented in the graph. In the context of the problem, what is the meaning of f(3) = 246?

• The maximum is 82 feet.

• After 246 seconds the baseball is 3 feet in the air.

• After 3 seconds the baseball is 246 feet in the air.

• The average rate of change is 82 feet per second.

Tags

CCSS.HSF.IF.A.2

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds. For which interval is the ball's height always decreasing?

Tags

CCSS.HSF.IF.B.4

What Key Feature are you looking for if the question is: This can be modeled with the function h(t) = -16t² + 96t. When does the rocket land?

• x-intercept

• y -intercept

• vertex

• axis of symmetry

What Key Feature are you looking for if the question is: This can be modeled with the function h(t) = -16t² + 96t. What is the maximum height of the rocket?

• x-intercept

• y -intercept

• vertex

• axis of symmetry

How long is the rocket in the air?

About how high is the rocket after 1 second?

After 2 seconds, about how high is the rocket?