Key Features of Quadratic Functions Explored

What is the basic form of a quadratic function?

• f(x) = x^3

• f(x) = 2x

• f(x) = x^2

• f(x) = x + 2

What shape does the graph of a quadratic function typically have?

• V-shape

• Circle

• Straight line

• U-shape

What does the vertex of a quadratic function represent?

• Intercept on the y-axis

• Maximum value

• Both maximum or minimum value

• Minimum value

How does a positive 'a' value affect the parabola of a quadratic function?

• Makes it linear

• No effect

• Opens upwards

• Opens downwards

What happens to the parabola when the 'a' value is less than 1?

• Vertical compression

• No change

• Horizontal stretch

• Vertical stretch

What is the domain of any quadratic function?

• 0 to infinity

• Negative infinity to 0

• Negative infinity to infinity

• 1 to 100

If 'a' is negative in a quadratic function, how does it affect the range?

• 1 to 100

• Negative infinity to infinity

• 0 to infinity

• Negative infinity to 0

What real-world application can quadratic functions have?

• Predicting economic growth

• Measuring liquid volume

• Calculating speed

• Determining areas of squares

How is the rate of change calculated in quadratic functions?

• f(x1) - f(x2) / (x1 - x2)

• f(x1) + f(x2) / (x1 + x2)

• None of the above

• f(x1) * f(x2)

What does a greater 'a' value indicate about the rate of change in a quadratic function?

• Faster rate of change

• Slower rate of change

• No change in rate

• Decreased rate of change