Graph each function. See Examples 6–8 and the Summary of Graphing...

Question

Graph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=-3(x-2)^2+1

Accepted Answer

Draw the graph of the following function using the various graphing techniques where we have F of X is equals to negative four multiplied by X minus five squared plus six. Our answers are just a few different graphs to choose from. Now to solve this, we need to find the transformations on our original graph. Our original function would be squirt. So let's find their transformations. We notice we first have a negative four multiplying our X minus five squared. The negative implies you will have a flip over the X axis and the four implies we have a vertical stretch of four. Now we can look at our horizontal or vertical translations. We notice we have X minus five squared with the minus five and set the parentheses, we will then have a horizontal shift. This horizontal shift will be to the right by fifth. Since we have a minus, we also have a vertical shift. Since we have a number outside the parentheses, it's a positive number. So we will say this is up six. So we need the graph that's flipped over the X axis stretched by a factor of four and shifted to the right five up six. If we look at all of our graphs, the answer to our problem would be graph A, this has all of our transformations. OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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Graph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=-3(x-2)^2+1

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