Graph a Square Root Function Solving Radical Eqns

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Graph a Square Root Function Solving Radical Eqn’s Graphically Radical Functions Graph the Square

Graph a Square Root Function Solving Radical Eqn’s Graphically Radical Functions Graph the Square Root of a Function Transformations Math 30 -1 1

What does square root mean? 2. 1 Can you square root? How can you

What does square root mean? 2. 1 Can you square root? How can you estimate a square root if the value is not a perfect square? Write the equation for a square root function. Write the equation for the square root of a function. How are these the same? Different? Math 30 -1 2

What falls faster a brick or a marble? Galileo Galilei pondered this question more

What falls faster a brick or a marble? Galileo Galilei pondered this question more than 400 years ago. He theorized that the rate of falling objects depends on air resistance, not on mass. The result was they fell at the same rate. Leaning Tower of Pisa Galileo For objects falling near the surface of Earth, the function d = 5 t 2 approximately models the time, t, in seconds, for an object to fall a distance, d, in metres, if the resistance caused by air can be ignored. Express time as a function of distance. Is this correct? Math 30 -1 Restriction on the domain. 3

Graphing Key Points x 0 1 4 9 y Are there any restrictions on

Graphing Key Points x 0 1 4 9 y Are there any restrictions on the domain? 0 1 2 3 Range x- intercept y- intercept Math 30 -1 4

Transformations of the Radical Function Which parameters affect the domain? Range? Use a table

Transformations of the Radical Function Which parameters affect the domain? Range? Use a table of values to sketch the graph of Domain? x 0 1 4 9 y 0 1 2 x -3 -2 1 y 0 1 2 3 6 3 Math 30 -1 Range? 5

Translate the key points 3 units left. Invariant Points? Math 30 -1 6

Translate the key points 3 units left. Invariant Points? Math 30 -1 6

Sketch the Graph using Transformations F R S T Domain Range Invariant Points? Math

Sketch the Graph using Transformations F R S T Domain Range Invariant Points? Math 30 -1 7

Consider the function y = f(x) Write an equation for the function in the

Consider the function y = f(x) Write an equation for the function in the form: Show algebraically that the two equations are equivalent. Math 30 -1 8

Match each graph with its function equation Domain, Range, Invariant Points Math 30 -1

Match each graph with its function equation Domain, Range, Invariant Points Math 30 -1 9

Write the function equation from the graph in the form 2 Horizontal translation 7

Write the function equation from the graph in the form 2 Horizontal translation 7 units right Vertical translation 3 units up Vertical Stretch Each vertical distance is 2 times the corresponding distance for a=2 Horizontal Stretch Each horizontal distance is ¼ times the corresponding distance for Math 30 -1 10

Assignment: Page: 72 1 c, d, 2 a, 3, 4 a, b, 5 a,

Assignment: Page: 72 1 c, d, 2 a, 3, 4 a, b, 5 a, b, f, 6, 8, 9 Math 30 -1 11

Graph a Square Root Function Solving Radical EqnsGraph a Square Root Function Solving Radical Eqns
RADICAL Are you a Radical RADICAL RADICAL StormsRADICAL Are you a Radical RADICAL RADICAL Storms
Extraction of square root Square root of 18983449Extraction of square root Square root of 18983449
ROOT PAT ROOT TES ROOT WGT ROOT FWTROOT PAT ROOT TES ROOT WGT ROOT FWT
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ROOT PAT ROOT TES ROOT WGT ROOT FWTROOT PAT ROOT TES ROOT WGT ROOT FWT
lsmod root test root lsmod root test rootlsmod root test root lsmod root test root
ROOT PAT ROOT TES ROOT WGT ROOT FWTROOT PAT ROOT TES ROOT WGT ROOT FWT
Solving Square Root and Other Radical Equations nSolving Square Root and Other Radical Equations n
7 5 Solving Square Root and Other Radical7 5 Solving Square Root and Other Radical