Exploring Parent Functions and Transformations

The video tutorial covers parent functions and their transformations, starting with linear equations in slope-intercept form. It explains how changes in parameters affect the graph's steepness, direction, and position. The tutorial introduces various graph types, including absolute value, quadratic, cubic, root, exponential, logarithmic, and trigonometric functions. It discusses transformations such as translations, reflections, and dilations, providing examples to illustrate these concepts.

What happens to the graph of a linear equation if the slope (M) is changed to a negative number?

• The graph shifts to the right.

• The graph becomes steeper.

• The graph shifts upward.

• The graph flips downward.

What is the effect of adding a number B to the linear equation y = x?

• The graph shifts downward.

• The graph shifts to the left.

• The graph shifts upward.

• The graph becomes less steep.

Which parent function creates a V shape?

• Exponential function

• Absolute value function

• Cubic function

• Quadratic function

What shape does the graph of y = x^2 create?

• A wave

• A V shape

• A U shape

• A bent line

Which function is the inverse of the exponential function?

• Quadratic function

• Logarithmic function

• Cubic function

• Absolute value function

How can you distinguish between a sine wave and a cosine wave?

• Cosine wave crosses the y-axis at the midline.

• Sine wave crosses the y-axis at the maximum point.

• Sine wave crosses the y-axis at the midline.

• Cosine wave crosses the y-axis at the minimum point.

What type of transformation is a slide?

• Rotation

• Translation

• Reflection

• Dilation

What does a negative sign in front of the equation indicate?

• A vertical dilation

• A horizontal translation

• A reflection across the y-axis

• A reflection across the x-axis

If a graph is two times wider than its parent function, what type of transformation has occurred?

• Horizontal translation

• Vertical translation

• Horizontal dilation

• Vertical dilation

In the equation y = 2 sin(x) + 6, what does the +6 represent?

• A vertical shift upward

• A horizontal shift to the right

• A horizontal stretch

• A vertical stretch