Define transformations of parent graphs

The video tutorial covers function transformations, distinguishing between inside and outside transformations, and their effects on graphs. It explains vertical and horizontal transformations, including stretching, compressing, and reflecting. The tutorial introduces 12 basic functions, discussing their characteristics such as domain, range, and symmetry. It also provides an overview of trigonometric functions, highlighting their unique properties.

What is the effect of adding a constant to a function's output?

• It shifts the graph vertically.

• It shifts the graph horizontally.

• It reflects the graph over the x-axis.

• It compresses the graph vertically.

How does multiplying a function by a negative constant affect its graph?

• It stretches the graph horizontally.

• It compresses the graph vertically.

• It reflects the graph over the x-axis.

• It shifts the graph up.

Which of the following is true about the identity function?

• It has a maximum point.

• It is always increasing.

• It is an even function.

• It is bounded below.

What is the domain of the quadratic function?

• Only positive numbers

• All real numbers

• Only negative numbers

• Zero to infinity

Which function is symmetrical about the origin?

• Quadratic function

• Absolute value function

• Square root function

• Cubic function

What is the range of the square root function?

• Negative infinity to infinity

• Zero to infinity

• All real numbers

• Negative infinity to zero

Which function has a horizontal asymptote at y = 0?

• Exponential function

• Logarithmic function

• Cubic function

• Reciprocal function

What is the domain of the logarithmic function?

• All real numbers

• Zero to infinity

• Negative infinity to zero

• Negative infinity to infinity

Which trigonometric function is symmetrical about the origin?

• Reciprocal function

• Tangent function

• Cosine function

• Sine function

What is the range of the tangent function?

• Zero to infinity

• One to negative one

• Negative infinity to zero

• Negative infinity to infinity