In Exercises 39–50, graph the given functions, f and g, in the sa...

Question

In Exercises 39–50, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = -2x, g(x) = -2x-1

Accepted Answer

Draw the graphs for the given functions F and G in the same rectangular system and state the relation between both graphs F of X equals negative five XG of X equals negative five X minus six. We notice here are possible answers are four different graphs with different transformations. To solve this. We need to find our transformation from F FX to G FX. You notice we have FX is negative five, X G FX is negative five X minus six. Let's first find the vertical transformation. You notice here F of X, the G FX are only difference as a minus six. This means we have a vertical transformation and this is down by six because we have a negative six. So we've shifted down six units. Now we can also find our horizontal transformation. It just takes a little bit of modification to determine if we have G FX. It's negative five X minus six. Let's transform this equation into the form of X plus or minus some number. In other words, we don't want the negative five multiplying the X. Let's say we factor out the negative five, you'll get negative five multiplied by X and then we're taking out a negative five from the negative six, which means we want six divided by five or 1.2. Other words, we can rewrite G of X as negative five multiplied by X plus 1.2. This means we have a horizontal shift and this shift is left 1.2 units. Let's see if we can find a graph that has both of our transformations. If we go down, we know this graph c describes both of our transformations, either six units down or 1.2 units to the left. OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 39–50, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = -2x, g(x) = -2x-1