Mike's Math Videos - Transformations of Functions

Transformations - Stretching and Shrinking

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Sketch a graph of g of x = 2 left paren x minus 3 right paren squared as a transformation of the graph of f of x = x squared

Sketch a graph of g of x = negative 1 half left paren x minus 3 right paren squared as a transformation of the graph of f of x = x squared

Sketch a graph of g of x = negative 2 left paren x minus 3 right paren squared + 4 as a transformation of the graph of f of x = x squared

Sketch a graph of g of x = the absolute value of 1 third x, + 1 as a transformation of the graph of f of x = the absolute value of x

Sketch a graph of g of x = negative root 2x, minus 4 as a transformation of the graph of f of x = root x

The graphs of f and g are given. Find an equation for the function g. f of x is the square root of x, and g of x looks like the square root of x but reflected across the x-axis and shifted to the left 7 units

The graph of the function f of x = the absolute value of x is transformed in the following way: first it is stretched horizontally by a factor of 2, then it is reflected across the x-axis, and lastly it is shifted up 8 units. Write the equation of the transformed graph and sketch it on the xy plane.

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