suppose f(x)=x^3 find the graph of f(x+4)
![suppose fxx3 find the graph of fx4 class=](https://us-static.z-dn.net/files/de4/0bae01d6350ca49f24f0f602e5d568a6.jpg)
Answer:
graph 1
Step-by-step explanation:
f(x+4) shifts the graph of f(x) left 4 units. The graph that shows y=x^3 shifted left 4 units is graph 1.
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The point (0, f(0)) = (0, 0) is the point of inflection on the curve. In the function f(x+4), the value of x must be -4 in order to get a y-value of 0. That is, the point that was (0, f(0)) now is (-4, f(-4+4)) = (-4, f(0)). It has been moved 4 units to the left.