Effects of Parameters on Graphs

The video tutorial explains the transformation of cube root functions, starting with the parent equation y = cube root of x. It discusses how transformations affect the graph, including translations, reflections, and vertical stretches or compressions. The parameters a, h, and k are explained in detail, showing their impact on the graph's shape and position. The video also covers the effects of these parameters on the graph's reflection across axes and concludes with a call to action for viewers to like and subscribe.

What is the parent equation of a cube root function?

• y = x^3

• y = √x

• y = x^2

• y = 3√x

Why is the cube root function graph called a parent graph?

• It is the simplest form of the graph.

• All other cube root graphs are transformations of it.

• It is the largest graph in the family.

• It has the most complex shape.

What is the locator point of the parent cube root function graph?

• (1, 1)

• (3, 3)

• (0, 0)

• (-1, -1)

In the graphing form y = a√(x-h) + k, what do 'a', 'h', and 'k' represent?

• Constants

• Parameters

• Variables

• Exponents

What happens to the cube root graph if 'a' is negative?

• It shifts to the right.

• It reflects across the x-axis.

• It shifts upwards.

• It becomes a straight line.

If 'a' is zero, what does the cube root graph become?

• A hyperbola

• A circle

• A straight line

• A parabola

What is the effect of 'a' being greater than 1 on the graph?

• The graph is vertically stretched

• The graph becomes a straight line

• The graph becomes wider

• The graph is reflected

If the absolute value of 'a' is between 0 and 1, what happens to the graph?

• It becomes a straight line

• It becomes wider

• It reflects across the y-axis

• It becomes narrower

What does the graph look like when 'a' equals 1?

• It is compressed

• It is reflected across the x-axis

• It becomes a straight line

• It resembles the parent graph

What happens to the graph if 'a' is less than -1?

• It is vertically stretched and reflected

• It becomes wider

• It is compressed

• It becomes a straight line