Linear, Quadratic, or Exponential? Graphs & Equations

Front

What are the three main types of functions covered in this quiz?

Back

Linear, Quadratic, Exponential

Front

What is the general form of a quadratic equation?

Back

y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

How can you identify a linear function from its graph?

Back

A linear function will graph as a straight line.

Front

What is the defining characteristic of an exponential function?

Back

An exponential function has a constant ratio of change, typically expressed as y = ab^x, where b > 0.

Front

What is the standard form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you determine if a function is exponential?

Back

If the function can be expressed in the form y = ab^x, where b is a constant greater than 0, it is exponential.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change, while quadratic functions have a variable rate of change that forms a parabola.

Front

What is the significance of the 'a' value in a quadratic equation?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects its width.