Quadratic Function Can Be Modeled By The Table

A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function. Which function best models the data?

A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times. Based on the table, which function can best be used to model this situation?

The height of a rocket, at selected times, is shown in the table above. Based on these data, which statement is not a valid conclusion?

• The rocket was launched from a height of 180 feet.

• The maximum height of the rocket occurred 3 seconds after launch.

• The rocket was in the air approximately 6 seconds before hitting the ground.

• The rocket was above 300 feet for approximately 2 seconds.

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds. For which interval is the ball's height always decreasing?

The height, y, of a ball tossed into the air can be represented by the equation

y = −x² + 10x + 3, where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?

• y = 5

• y = -5

• x = 5

• x = -5

The height of a swimmer’s dive off a 10-foot platform into a diving pool is modeled by the equation

y = 2x² − 12x + 10, where x represents the number of seconds since the swimmer left the diving board and y represents the number of feet above or below the water’s surface.

What is the farthest depth below the water’s surface that the swimmer will reach?

• 6 feet

• 8 feet

• 10 feet

• 12 feet

The table of value represents a quadratic function. Which of the following functions yields the same minimum or maximum value as the table?

• f(x) = -x² + 4

• f(x) = x²+4x+4

• f(x) = 3x² - 5

• f(x) = -x² + 8

Determine if the table is Linear, Quadratic or other.

• Linear

• Quadratic

• Other

What type of equation is: y=3x² +5 

• Quadratic

• Linear

• Exponential

• Parabola

What type of function is the following?
f\left(x\right) =x^2+3x -2

• Linear

• Quadratic

• Exponential