Answer:
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Step-by-step explanation:
I made a table with some of the possible values for x and y.
I also graphed the equation to show the points on a graph.
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Without using technology, describe the end behavior of f(x) = −3x38 + 7x3 − 12x + 13.
2 answers:
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To express a function of the form 
in vertex form 
where (h,k) is the vertex of the parabola, we need to find the vertex first.
To find the vertex we are going to use the vertex formula:
, and 
will be the function evaluated at 
.
We can infer from our function that
and 
. So lets find :
Now that we have, we can evaluate the function at 1 to find :
We have the vertex (1,3) of our parabola, so we can use its vertex form:
We can conclude that the vertex for of our parabola is <span>f(x) = (x + 1)2 + 3.</span>
To find the vertex we are going to use the vertex formula:
We can infer from our function that
Now that we have
We have the vertex (1,3) of our parabola, so we can use its vertex form:
We can conclude that the vertex for of our parabola is <span>f(x) = (x + 1)2 + 3.</span>