Which form of a quadratic function is easiest to use when finding the maximum or minimum value of the function?
2 answers:
Answer:
Vertex form
Step-by-step explanation:
There are several forms of the quadratic equation
Standard form: y = ax^2 + bx + c which is useful for the quadratic equation and the axis of symmetry
Factored form: y = (ax - c)(bx - d) which will give us the zeros
and
Vertex form: y = a(x - h)2 + k where ( h,k) is the vertex
The maximum and minimum would be the value of k
It would be maximum when a >0 and minimum when a<0
Answer:
ax² + bx + c
Step-by-step explanation:
The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.
Suppose a quadratic function:
f(x) = 2x² - 8x + 9
Use ( -b/2a , f(-b/2a) ).
-b/2a
a = 2
b = -8
-(-8)/2(2)
8/4
= 2
f(2) = 2(2)² - 8(2) + 9
f(2) = 2(4) - 8(2) + 9
f(2) = 8 - 16 + 9
f(2) = 1
The minimum value of this quadratic function is (2, 1).
It represents a minimum value because a > 0.
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I hope I helped you.