Graphing an exponential function using transformations

The video tutorial covers graphing functions and equations, focusing on transformations such as vertical shifts and reflections. It explains how to graph exponential functions and determine their domain and range. The tutorial emphasizes understanding the effects of transformations on graphs and provides examples to illustrate these concepts.

What is the effect of adding a positive constant outside a function?

• Horizontal shift to the right

• Vertical shift upwards

• Reflection over the horizontal axis

• Vertical shift downwards

What happens to a graph when it is reflected over the vertical axis?

• It shifts upwards

• It shifts downwards

• It flips vertically

• It flips horizontally

What is the new y-intercept after shifting the graph 2 units up?

• (0, 3)

• (0, 0)

• (0, 2)

• (0, 1)

What is the domain of the function after transformation?

• Numbers greater than zero

• All real numbers

• All negative numbers

• All positive numbers

Why does the range of the function not include values below 2?

• Due to the horizontal shift of 2 units

• Because the function is always positive

• Due to the vertical shift of 2 units

• Because the function is always negative

What is the range of the transformed function?

• Negative Infinity to 2

• 2 to Infinity

• 1 to Infinity

• 0 to Infinity

What is the effect of a negative exponent on the function's value?

• It makes the value positive

• It makes the value zero

• It has no effect

• It makes the value negative