How to graph the equation of a square root

The video tutorial explains transformation functions, focusing on the equation y = a * sqrt(X - H) + K. It covers how transformations like reflections, shifts, and vertical stretches affect graphs. The instructor demonstrates graphing techniques, emphasizing the importance of choosing appropriate values for plotting. The tutorial concludes with applying transformations to graphs, highlighting the effects of shifting, reflecting, and stretching on the graph's appearance.

What happens to the graph of a function when it is multiplied by a negative number?

• It shifts to the right.

• It becomes wider.

• It shifts upwards.

• It reflects across the X-axis.

If H is positive in the transformation function, in which direction does the graph shift?

• Left

• Down

• Right

• Up

Why is it important to understand the basic shape of a graph before applying transformations?

• To accurately apply shifts and reflections.

• To decide the graph's thickness.

• To determine the color of the graph.

• To know which values to avoid.

Which values are typically chosen to plot the basic graph of a function?

• Values that result in whole numbers.

• Random values.

• Values that are very large.

• Values that are negative.

What is the effect of a vertical stretch on a graph?

• It makes the graph wider.

• It shifts the graph to the left.

• It makes the graph narrower.

• It reflects the graph across the Y-axis.

How do you apply a horizontal shift to a graph?

• By adding a constant to the Y-values.

• By multiplying the X-values by a constant.

• By reflecting the graph across the X-axis.

• By adding or subtracting a constant from the X-values.

What is the final step in applying transformations to a graph?

• Reflecting the graph across the Y-axis.

• Choosing new values to plot.

• Multiplying the Y-values by a constant.

• Changing the color of the graph.