Maths-
General
Easy
Question
Compare each function to f, shown in the table. Which function has lesser minimum value? Explain
![](data:image/png;base64,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)
g(x) = 2x2 + 8x + 3
The correct answer is: -5
Solution:- We have given two functions f(x) and g(x).
g(x) = 2x2 + 8x + 3
For f(x) , minimum value of the function will be the y-coordinate of the given point which has minimum values
(1,0) , (2,-3) , (3,-4) , (4,-3) (5,0)
In the given points minimum value of is (3,-4)
So, the ,minimum value of f(x) is -4.
In g(x)= 2x2 + 8x + 3, a= 2, b= 8, and c=3. So, the equation for the axis of symmetry is given by
x = −(8)/2(2)
x = -8/4
x = -2
The equation of the axis of symmetry for g(x)= 2x2 + 8x + 3 is x = -2.
The x coordinate of the vertex is the same:
h =-2
The y coordinate of the vertex is :
k = f(h)
k = 2h2 + 8h + 3
k = 2(-2)2 + 8(-2) + 3
k = 8 - 16 + 3
k = -5
Therefore, the vertex is (-2 , -5)
The minimum value of g(x) will be the y-coordinate of vertex = -5
The equation of the axis of symmetry for g(x)= 2x2 + 8x + 3 is x = -2.
The x coordinate of the vertex is the same:
The y coordinate of the vertex is :
Therefore, the vertex is (-2 , -5)
The minimum value of g(x) will be the y-coordinate of vertex = -5
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