Quadratic Applications Algebra

At which points does the graph of f(x)=12x²+24x-180 intersect the x-axis?

• (5,0) (-3,0)

• (-5,0) (3,0)

• (12,0) (-15,0)

• (-12,0) (15,0)

Which of the following must be true if a quadratic equation has "one solution"?

• The graph of the equation crosses the x-axis one time

• The graph of the equation opens "downward"

• The graph of the equation crosses the axis two times

• The graph of the equation does not cross or touch the x-axis

The roots of the equation 4x² - 9x - 3 =0 are:

• 
• 
• 
• 

x² + 9x - 31 = 4x + 5

• x=-9 and x=4

• x=-4 and x=9

• x=3 and x=-12

• x=-3 and x=12

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river.  How high does the water go?

• It goes 11.78 feet high

• It goes 20 feet high

• It goes 40 feet high

• It goes 10 feet high

Amelia runs a catering business. Based on her records, her profit is shown by P = 2x² - 44x -150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit?

• -1

• 5

• 11

• 25

• 50

A raft is dropped from a helicopter 256 feet in the air above the ocean.  Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256.  How many seconds did it take the raft to hit the water? 

• -4

• 2

• 4

• 8

What is the initial (starting) height of an object following this path?  h(t) = -16t² +20t + 6

• -16 feet 

• 0 feet

• 20 feet 

• 6 feet 

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

An object in launched directly upward and the height of the object is represented by the equation s(t) = –16t² + 64t + 80. What is the initial velocity the object is launched at?

• 64 feet

• 80 feet

• 16 feet

• -16 feet