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AleOfficial101
14.04.2021 •
Mathematics
Find the values of x and y.
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Ответ:
Option D.
Step-by-step explanation:
Note: The parent function is
instead of
.
Assume that the parent function is
The vertex of this function is (0,0).
The vertex form of a parabola is
where, a is a constant and (h,k) is vertex.
If a>0, then the function has minimum and if a<0, then the function has maximum.
It means if a function has minimum then the leading coefficient , must be positive.
The leading coefficient in option A and C are negative. So, option A and C are incorrect.
In option B, h=3, k=1. So, the vertex of the function is (3,1). It means the graph of parent function shifts 3 units right and 1 unit up.
In option D, h=3, k=-5. So, the vertex of the function is (3,-5). It means the graph of parent function shifts 3 units right and 5 units down.
Only, the function
has a minimum and is transformed to the right and down from the parent function,
.
Therefore, the correct option is D.