In Exercises 53-66, begin by graphing the standard quadratic func...

Question

In Exercises 53-66, begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. h(x) = -(x − 2)²

Accepted Answer

Use the graph of the function F of X equals five X squared for applying a transformation of graphs to graph the function according to the given condition G of X equals negative five multiplied by X plus two squared. Now, to solve this, we need to figure out what transformation takes us from F FX to G FX. We know F FX is five square G M X negative five multiplied by X plus two square. Our first difference you notice is that there's a negative in front of the five. Now because it's a negative, we have a flip over the X axis. We also have X plus two in the parentheses that will tell us we have a horizontal shift and this shift is to the left by two. So we need to find a graph thus flipped over the X axis and shifted to the left by two. If we looked at our possible graphs, we would determine graph B actually has both of our transformations. OK? I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 53-66, begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. h(x) = -(x − 2)²