Yes, y = 2(x-3)^2 +6 is a function.
When we plot the graph of this equation, we can see that for every input value of x, there is a unique corresponding output value of y. This means that each x-value is associated with only one y-value, which is a characteristic of a function.
Thus, by graphing the equation and observing its behavior, we can determine that y = 2(x-3)^2 +6 is indeed a function.
Here is a rough sketch of the graph:
Determine if y = 2(x-3)^2 +6 a function by graphing.
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1 answer