 You should be able to tell when a graph is shifted, reflected, stretched or shrunk. You should also be able identify transformations from an equation.

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Presentation transcript:

 You should be able to tell when a graph is shifted, reflected, stretched or shrunk. You should also be able identify transformations from an equation.

translates the graph c units up The +3 moves it up 3.

translates the graph c units down The -3 shifts it down 3.

 reflects the graph across the x-axis › (flips up side down)  ex: The negative makes it reflect over the x-axis

reflects the graph across the y-axis (flips sideways) The negative on the inside reflects it across the y-axis.

Notice: is much narrower than Vertical stretch (multiply by a number greater than one and the graph is stretched “taller” and “narrower”)

To make it shrink multiply by a number less than one, like a fraction or decimal, and the graph is shrunk “shorter” and “wider.” Notice: is much wider than

What does the negative out front do? What does the 3 do to the graph? What does the 7 do to the graph? Reflect over the x-axis stretch Shifts it 7 units up Click on the questions to check your answers.