What is the quadratic regression equation?
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Answer:
option C ⇒ C) y = -x² + 18x - 74
Step-by-step explanation:
The given options are:
A) y = -x² + 14x - 40
B) y = -x² - 18x - 88
C) y = -x² + 18x - 74
D) y = -x² - 14x - 58
=================================
The general equation of the parabola has the form:
y = f(x) = ax² + bx + c
The vertex of the parabola has the coordinates (h , k)
where h =
and k = f(h) = f()
Check option A: a = -1 , b = 14 ⇒ (h,k) = (7, f(7) ) = (7 , 9)
Check option B: a = -1 , b = -18 ⇒ (h,k) = (-9, f(-9) ) = (-9,-7)
Check option C: a = -1 , b = 18 ⇒ (h,k) = (9, f(9) ) = (9,7)
Check option D: a = -1 , b = -14 ⇒ (h,k) = (-7, f(7) ) = (-7,-9)
So the equation which has a maximum at (9,7) ⇒ y = -x² + 18x - 74
<u>So, the correct answer is option C</u>
Answer:
Please read the answer below
Step-by-step explanation:
The general form of a sinusoidal function is given by:
(1)
where A is the amplitude, and the period is given by:
The image of a function is the available values of the function f(x) in the domain of f(x). For sinusoidal function the image of f(x) is determined with the aid of the amplitude. For example, in the case of (1), f(x) varies from -A to A.
Due to the information given above you have (the plots are attached below):
a)
b)
in the last case the first term of f(x) modifies the image of f(x) because the sinusoidal function is displaced to y=1.
c)
