How do we know when we have a reflection for an exponential function

The video tutorial discusses reflections over the X and Y axes, focusing on quadratics and exponential functions. Quadratics are symmetrical about their axis of symmetry, so reflecting them over the Y axis doesn't change their graph. However, exponential functions are not symmetrical, requiring reflections over both axes. The tutorial explains how multiplying by -1 reflects a function over the X axis and how a negative exponent reflects it over the Y axis. The key takeaway is understanding these reflections without needing graphing technology.

What happens when a quadratic function is reflected over the Y axis?

• The graph shifts downwards.

• The graph becomes a mirror image along the Y axis.

• The graph shifts upwards.

• The graph remains unchanged.

How does multiplying a function by -1 affect its graph?

• It stretches the graph vertically.

• It shifts the graph to the right.

• It reflects the graph over the X axis.

• It compresses the graph horizontally.

In the context of exponential functions, what does a negative exponent indicate?

• A vertical stretch.

• A horizontal shift.

• A reflection over the Y axis.

• A reflection over the X axis.

Why is it important to understand reflections without graphing technology?

• It helps in solving equations faster.

• It is required for all math exams.

• It simplifies the graphing process.

• It is true for all families of functions.

What is the result of raising a negative number to an even power?

• A negative number.

• An undefined value.

• A positive number.

• Zero.