You are asked to find the minimum or maximum of the quadratic function: f(x)=−2x2+4x+1 and you use x=-b/2a to find the x-value
Whatis the value of b?
what is a?
what is the value of x?
what is the value of y?
Is this a minimum or maximum?
The quadratic function is in the form f(x) = -2x^2 + 4x + 1.
From the general formula x = -b/2a, we can determine that:
- b = 4
- a = -2
Substitute b and a into x = -b/2a:
x = -(4) / 2(-2)
x = -4 / -4
x = 1
To find the value of y, plug the value of x into the function:
f(1) = -2(1)^2 + 4(1) + 1
f(1) = -2 + 4 + 1
f(1) = 3
Since the coefficient of x^2 is negative, the quadratic function has a maximum.