Transformations of Parent Functions: Part 2 Insights

The video tutorial explains how to graph functions using transformations. It covers different types of transformations, including shifts, flips, and stretches, applied to various parent functions such as square root, absolute value, quadratic, and cubic functions. The tutorial provides step-by-step instructions on how to apply these transformations to graph functions accurately, using table values and visual examples.

What are the two sets of table values used for graphing functions?

• Negative one, zero, one, two and zero, one, four, nine

• Zero, one, two, three and one, two, three, four

• Negative two, zero, two, four and zero, two, four, six

• One, two, three, four and two, four, six, eight

Why do we use perfect squares for the square root function?

• Because they give nice numbers

• Because they are the only values that work

• Because they are easier to calculate

• Because they are always positive

What is the first transformation applied to the square root function in the example?

• Stretching

• Flipping

• Shifting right

• Shifting up

What does the negative sign in front of the absolute value function indicate?

• Stretching vertically

• Flipping across the x-axis

• Shifting down

• Shifting left

How do you apply a vertical stretch to a function?

• Subtract the stretch factor from the x-values

• Multiply the y-values by the stretch factor

• Add the stretch factor to the y-values

• Multiply the x-values by the stretch factor

What is the parent function of a quadratic function?

• sqrt(x)

• x^2

• x

• x^3

How do you move a graph to the right?

• Add to the x-values

• Subtract from the y-values

• Subtract from the x-values

• Add to the y-values

What is the effect of a plus sign inside the function on the graph?

• Moves the graph left

• Moves the graph right

• Moves the graph down

• Moves the graph up

What is the parent function of a cubic function?

• sqrt(x)

• x^2

• x^3

• x

How do you apply a transformation that moves the graph down?

• Add to the y-values

• Subtract from the y-values

• Add to the x-values

• Subtract from the x-values