Modeling Quadratic Equations

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Does y = -5x² + 10x - 14 have a maximum or minimum?

• minimum

• maximum

Does the equation y = -3x² + 7x - 2 open up or down?

• up

• down

Write the equation in standard form of the parabola passing through the points (1, -4), (2, -3), (3, -4).

Which of the following is an equivalent form of the equation of the graph shown in the xy-plane, from which the coordinates of the vertex A can be identified as constants in the equation?

• y = x(x - 2) - 15

• y = (x + 3)(x - 5)

• y = (x - 1)² -16

• y = (x - 3)(x + 5)

The equation below expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground with an initial velocity of 27 meters per second. After approximately how many seconds will the ball hit the ground?

h = -4.9t² + 27t

• 3.50

• 2.75

• 5.50

• 5.00

The height, h, in feet of an object above the ground is given by h = -16t² +32t +176 for t≥0, where t is time in seconds. What is the maximum height of the object?

• 192 feet

• 12 feet

• 176 feet

• 121 feet

The height, h, in feet of an object above the ground is given by h = -16t² + 32t + 240, t ≥ 0 where t is the time in seconds. What is the maximum height of the object?

• 16 feet

• 240 feet

• 256 feet

• 224 feet

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