Graphing Square Root Functions Using T-Charts

The video tutorial explains how to model the time it takes for an object to fall from a height using the equation y = 1/4 radical x. It covers the basics of square roots, common misunderstandings, and how to graph square root functions using a T-chart. The tutorial also explores negative square root functions and transformations of these functions. Finally, it applies these concepts to solve the initial problem of determining the height from which an object falls in one second.

What is the equation used to model the time it takes for a rock to fall from a certain height?

• y = 1/4√x

• y = 1/5√x

• y = 1/3√x

• y = 1/2√x

Which of the following is a perfect square number?

• 9

• 5

• 7

• 3

What is the square root of 100?

• 5

• 10

• -10

• Both 10 and -10

What happens to the graph of a square root function when a negative sign is placed outside the radical?

• It shifts to the right

• It shifts to the left

• It reflects over the x-axis

• It reflects over the y-axis

When graphing f(x) = √(x + 1) - 2, what is the y-coordinate when x = 3?

• -1

• 1

• -2

• 0

What is the y-coordinate when x = 16 in the function y = 1/4√x?

• 1

• 1.25

• 0.75

• 0.5

How far does the rock fall in 1 second according to the graph of y = 1/4√x?

• 8 feet

• 12 feet

• 16 feet

• 20 feet