Understanding Quadratic Functions and Equations

What is the graph of a quadratic function in a single variable called?

• A line

• A circle

• A parabola

• A hyperbola

What are the points where a parabola intersects the x-axis called?

• Zeros

• Vertices

• Focus points

• Apexes

How many x-intercepts can a linear function have?

• None

• Infinite

• One

• Two

What is a key difference between solving linear and quadratic equations?

• Linear equations have no solutions

• Quadratic equations are always easier

• Linear equations are always more complex

• Quadratic equations can have more than one solution

Which ancient civilization used tables of square roots to solve quadratic equations?

• Greeks

• Romans

• Babylonians

• Chinese

In ancient Babylonia, what was the standard unit of area called?

• Nindan

• Sar

• Cubit

• Meter

What is the modern algebraic representation of a problem involving a square with an area of 16 sar?

• x + 16 = 0

• x^2 = 16

• x^2 - 16 = 0

• x^2 + 16 = 0

What kind of equation describes the trajectory of a free-falling object?

• Linear equation

• Cubic equation

• Quadratic equation

• Exponential equation

What is the initial vertical velocity of a cannonball in the given example?

• 12 meters per second

• 80 meters per second

• 5 meters per second

• 28 meters per second

What will the next lectures explore regarding quadratic equations?

• Techniques for solving linear equations

• History of algebra

• Applications of calculus

• Techniques for solving quadratic equations