Quadratics Application

For the function above, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

• Not Sure

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation 
s(t) = –16t² + 64t + 80.
What will be the object's maximum height? 

• 2 ft

• 80 ft

• 144 ft

• 64 ft

h(t) = -16t² + 20t +6, what is the height after 1 second?

• 6 feet 

• 20 feet 

• 10 feet 

• 4 feet 

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

• 8 seconds

• 1 second

• 1.5 seconds

• 1/4 second

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take for the rock to reach the river (i.e. hit the "ground")?

• 2.5 sec

• 3.5 sec

• 4.5 sec

• 3.8 sec

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter 

• a=0, b=5, c=7

• a=1, b=5, c=7

• a=7, b=5, c=1

Identify the 'b' value: y = 16x² -8x -24

• 16

• -8

• 8

• -24

When I want to find the maximum or minimum height of an object, I should_____

• Set the equation = 0 and use the quadratic formula.

• Use x = (-b/2a) as my answer.

• Substitute x = 0 into the equation.

• Find the vertex using Desmos and use the y-coordinate.

If the discriminant of the quadratic equation is equal to 0, how many real solutions are there?

• None

• One

• Two

• Infinite

For the function above, determine whether the discriminant is positive, negative, or zero.

• Positive

• Negative

• Zero