state in words, a sequence of transformations that maps y=g(x) onto y=-3g(2x+5)
the g confuses me, any help?
the g confuses me, any help?
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The g is the name of some arbitrary function. For example, it could be something like g(x) = x^2 or g(x) = 5e^x - sqrt(3x) + 7. But for this problem, we don't care what exactly the function is, so that's why they just call it g (often times we use "f" instead of "g").
The question is asking you about transforming the graph of a function by horizontal and vertical shifts or stretches.
For example, if you start with a function y=g(x) and change it to y=g(2x), then that means you squeezed the graph horizontally by a factor of 2. Then if you change that to y=g(2x+5), that means you shifted the graph to the left 5 units.
Now you just need to figure out what happens when you multiply by -3.
The question is asking you about transforming the graph of a function by horizontal and vertical shifts or stretches.
For example, if you start with a function y=g(x) and change it to y=g(2x), then that means you squeezed the graph horizontally by a factor of 2. Then if you change that to y=g(2x+5), that means you shifted the graph to the left 5 units.
Now you just need to figure out what happens when you multiply by -3.