Adding and Subtracting Rational Expressions

The video by Mr. Wynn covers parent functions and their transformations. It explains the basic types of parent functions, such as linear, quadratic, cubic, absolute value, and square root, and their characteristics like domain, range, and symmetry. The video also delves into how transformations like vertical stretching, horizontal shifting, and reflections affect these functions. It provides examples of graphing these functions and analyzing the changes due to transformations.

What is the basic form of a linear parent function?

• y = √x

• y = |x|

• y = x

• y = x^2

Which parent function is represented by a U-shape?

• Quadratic

• Absolute Value

• Cubic

• Linear

What is the domain of the square root parent function?

• x ≠ 0

• x ≤ 0

• x ≥ 0

• All real numbers

How does a vertical stretch affect a graph?

• Makes it wider

• Shifts it left

• Shifts it right

• Makes it taller

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

• It shifts up

• It becomes wider

• It shifts down

• It flips upside down

If a function has a transformation of +3 inside the absolute value, which direction does it shift?

• Up 3

• Left 3

• Right 3

• Down 3

What is the effect of a -8 outside the square root function?

• Shifts the graph down 8

• Shifts the graph up 8

• Shifts the graph right 8

• Shifts the graph left 8

How do you determine the vertical translation of a function?

• By looking at the exponent of x

• By looking at the constant outside the function

• By looking at the coefficient of x

• By looking at the constant inside the function

What does a vertical compression do to a graph?

• Makes it wider

• Shifts it left

• Makes it taller

• Shifts it right

If a quadratic function changes from f(x) = 5(x-3)^2 - 7 to g(x) = 5(x+1)^2 + 4, what is the horizontal shift?

• Left 1

• Left 4

• Right 4

• Right 1