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reeceslife481
27.06.2019 •
Mathematics
Which graph represents f(x)=1/2x^2 ?
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Ответ:
Ответ:
See below.
Step-by-step explanation:
The one that looks like the attachment.
It is vertically shortened from f(x) = x^2, so appears wider than f(x) = x^2 does. The vertex is still at (0, 0), it still opens upward, and it remains symmetrical about the y-axis.
Ответ:
Remember that the vertex form of a parabola is
where
is the vertex of the parabola.
Now, to find the vertex of the parabola, we are going to use the vertex formula:
For a quadratic of the form
, the vertex
is given by:
We know form our quadratic that
and
, so let's use our formula to find
:
Now we can evaluate our function at
to find
:
Now, we can rewrite our parabola in vertex form:
We can conclude that the correct answer is: y = 6(x + 1)2 – 16