What is the minimum value for g(x)=x2−10x+16? Enter your answer in the box. y =
2 answers:
Answer:
Step-by-step explanation:
The given function is
As you can notice, this is a quadratic function. That means its graphic behaviour is a parabola.
So, a parabola has a minimum or maximum, in either case, that point is the vertex. That means we need to find the vertex of this function and its vertical coordinate will be the minimum.
The vertex has coordinates of , where
, and
.
Replacing each value, we have
The other coordinate is defined as , that is, we need to replace the number 5 in the function to obtain k
Therefore, the minimum is at
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Answer:
Step-by-step explanation:
Not sure what form you need this in, but it really doesn't matter, as you'll see in the final equation. I used the vertex form and solved for a:
We are given the vertex (h, k) as the origin (0, 0), and we have a point that the graph goes through as (4, -64). That's our x and y. Plugging in what we have:
gives us
-64 = 16a and
a = -4. That means that the quadratic equation is
which is both vertex form and standard form here, no difference.