Graph Square Root and Cube Root Functions

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7.5 Graphing Square Root & Cube Root Functions p. 431.

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Presentation transcript:

Graph Square Root and Cube Root Functions Section 6.5 Graph Square Root and Cube Root Functions

6.5 Opener Write the Parent equation for each of the the graphed functions. y=x3 y=x y=x2 State the Domain and Range from each graph

Translations Review for f(x) f(x) represents y, the output, the graph f(x-h) moves the graph left or right f(x) + k moves the graph up or down af(x) a>1 vertical stretch -1<a<1 horizontal stretch -af(x) flip over x-axis af(-x) flip over y-axis f(x + 3) f(x) - 2 5f(x) 0.5f(x)

Review: Graph the following: y= -3x + 2

Lets hand graph and name the parents 6.5 The square root and cube root functions are also called RADICAL FUNCTIONS Lets hand graph and name the parents

Parent Square Root

Parent Cube Root

Graphing Examples: X 1 4 9 Y X -1 1 Y

Graphing using a(x – h) +k form Step 1: graph a f(x) using 3 points Step 2: translate those 3 points left or right, then up or down. Ex 1: Ex 2: Start at (h,k) and “a” acts as your slope