Rational and Radical Function Transformations

The video tutorial explains how to apply transformations to functions using parameters a, K, D, and C. It covers three parent functions: quadratic, radical, and rational. Each function is transformed by adjusting these parameters, affecting the graph's position and shape. The tutorial also discusses asymptotes in rational functions and provides step-by-step instructions for graphing transformed functions.

What is the role of parameter 'a' in function transformations?

• It shifts the graph horizontally.

• It compresses the graph horizontally.

• It stretches the graph vertically.

• It reflects the graph vertically.

How does parameter 'K' affect the graph of a function?

• It shifts the graph vertically.

• It stretches the graph horizontally.

• It compresses the graph vertically.

• It reflects the graph horizontally.

What transformation occurs when D is positive?

• The graph shifts downwards.

• The graph shifts upwards.

• The graph shifts to the right.

• The graph shifts to the left.

In the quadratic function transformation, what does a negative K value indicate?

• Vertical reflection

• Horizontal reflection

• Vertical stretch

• Horizontal stretch

What is the effect of a horizontal reflection on a quadratic function?

• It changes the direction of the parabola.

• It shifts the vertex of the parabola.

• It flips the parabola over the y-axis.

• It compresses the parabola.

How do you determine the new x-values after a horizontal stretch by a factor of 2?

• Multiply the x-values by 2

• Subtract 2 from the x-values

• Divide the x-values by 2

• Add 2 to the x-values

What is the parent function of a quadratic transformation?

• f(x) = x

• f(x) = x^2

• f(x) = 1/x

• f(x) = √x

In the radical function transformation, why can't negative x-values be used?

• They do not affect the function.

• They make the function non-linear.

• They cause the function to be undefined.

• They result in imaginary numbers.

What does a vertical reflection do to the radical function?

• Flips it over the x-axis

• Flips it over the y-axis

• Shifts it upwards

• Shifts it downwards

How does a negative 'a' value affect the radical function?

• It compresses the function vertically.

• It reflects the function vertically.

• It stretches the function horizontally.

• It shifts the function to the right.