Identify transformations, domain and limits of a reciprocal function

The video tutorial covers graph transformations, including reflection over the X axis, vertical stretching, and shifting. It explains how to identify variables and transformations, and how to determine the domain and limits of a function using number lines and inequalities. The tutorial emphasizes understanding the impact of these transformations on the graph's appearance and behavior.

What happens to a graph when the value of 'a' is negative?

• It stretches vertically.

• It compresses horizontally.

• It reflects over the X-axis.

• It shifts to the right.

If a graph is shifted 5 units to the left, what happens to the vertical asymptote?

• It moves 5 units to the right.

• It disappears.

• It moves 5 units to the left.

• It remains unchanged.

How does a vertical stretch affect the graph?

• It shifts the graph upwards.

• It makes the graph narrower.

• It makes the graph wider.

• It shifts the graph downwards.

Which value makes the denominator zero, thus affecting the domain?

• Infinity

• 5

• 0

• -5

What is the limit of the function as X approaches negative infinity from the left?

• Negative infinity

• Positive infinity

• Zero

• Five