Quadratic Applications

If the graph shows price vs profit, what is the maximum profit? 

• 35
• 12,000
• 12,500
• 60

If the graph shows price vs profit, at which prices would you "break even" (neither lose or gain money)? 

• 10 and 60 
• 20 and 50 
• 30 and 40 
• 35

Suppose this graph models the path of a basketball that was thrown. How long did it take for the basketball to hit the ground?

• -1 seconds

• 4 seconds

• 0 seconds

• 1.5 seconds

Suppose this graph models a golf ball being hit out of a sand trap. How long is the golf ball above ground for?

• .75 seconds

• .5 seconds

• .25 seconds

• .6 seconds

What is the initial height of the projectile?

• 2

• 21

• 16

• 0

When I want to find the maximum or minimum height/profit, I should_____.

• Find the x-intercept(s). Set the equation = 0 and solve.

• Find the x-coordinate of the vertex.

• Find the y-intercept. Substitute x = 0 into the equation.

• Find the y-coordinate od the vertex.

If I want to find out when an object hits the ground/ a business breaks even, I should _________.

• Find the x-coordinate of the vertex

• Find the x-intercept(s). Set my equation = 0 and solve.

• Find the y-intercept. Replace x with 0 and evaluate.

• Find the y-coordinate of the vertex.

If I want to see the initial height/cost, I should _____________.

• Find the y-intercept. Substitute x = 0 into the equation and evaluate.

• Find the x-coordinate of the vertex.

• Find the y-coordinate of the vertex.

• Find the x-intercepts. Set my equation = 0 and solve.

Which one are we looking for?

Elliot wants to know how high the soccer ball will get if he kicks it straight up in the air.

• x at vertex

• y at vertex

• x-intercept(s)

• y-intercept

Which one are we looking for?

Isabella wants to know how long her toy rocket will be in the air after she lights the fuse to launch it from a 1.5-foot launch pad.

• x at vertex

• y at vertex

• x-intercept(s)

• y-intercept