melissapulido198
15.01.2020 •
Mathematics
What are some things that might be necessary to know in order to solve problems involving quadratic regression?
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Ответ:
The correct options are 1 and 4.
Step-by-step explanation:
The given function is
Add and subtract
in the parentheses
The vertex form of the parabola is
. Option 2 is incorrect.
The general vertex form of a parabola is
Where, (h,k) is the vertex of the parabola.
On comparing (1) and (2) we get
Therefore the vertex of the function is (-10,-117). Option 1 is correct.
It is upward parabola, so the minimum value of the function is -117. Option 3 is incorrect.
The vertex of the function f(x)=x² is (0,0) and the vertex of h(x) is (-10,-117).
It means the f(x) shifts left by 10 units and down 117 units. Option 4 is correct.
The axis of symmetry of the function is x=h.
So, the axis of symmetry is
Therefore option is x=-10. Option 5 is incorrect.