Application of Quadratics in Real Life

Suppose the path of an object that has been thrown is represented by \(\left(t-4\right)\left(t+2\right)=0\) . How long did it take for the object to hit the ground?

• 4 seconds

• -2 seconds

• -2 and 4 seconds

If I want to see the initial height of an object, I should _____________.

• Substitute x = 0 into the equation and evaluate.

• Use x = (-b /2a) as my answer.

• Find the y-coordinate of the vertex. 

• Set my equation = 0 and solve.

Which one are we looking for?

Darrell is trying to find out how many seconds it will take a golf ball to get to its highest point after being hit on the golf course.

• x at vertex

• y at vertex

• positive zero

• y-intercept

A company graphed the revenue (profit) based on selling price of their item. What price would give them the greatest revenue?

• $0

• $31.80

• $62

• $2,528,100

The math club launched a rocket and recorded its height and distance travelled. What was its maximum height?

• 4 feet

• 8 feet

• 10 feet

• 14 feet

The math club launched a rocket and recorded its height and distance travelled. At what height did they start shooting it from?

• 4 feet

• 8 feet

• 10 feet

• 14 feet

The math club launched a rocket and recorded its height and distance travelled. How far did the rocket travel overall?

• 4 feet

• 8 feet

• 10 feet

• 14 feet

A company graphed the revenue (profit) based on selling price of their item. What is the maximum amount of revenue they can earn?

• $0

• $31.80

• $62

• $2,528,100

When did the ball reach its maximum height? Choose the key feature and the answer.

• y-intercept, 3 secs

• x-value of the vertex, 4 secs

• y-value of the vertex, 5 secs

• y-intercept, 0 secs

How high was the ball when it was thrown? Choose the key feature and the answer.

• y-intercept, 0 feet

• y-intercept, 3 feet

• x-value of the vertex, 4

• y-value of the vertex 5