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The graph of f(x) = 2x^2 - 4x + 5 is a minimum

What are quadratic equations?

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

How to determine if the graph is a maximum or minimum?

The equation of the function is given as

f(x) = 2x^2 - 4x + 5

The above equation is a quadratic equation.

A quadratic equation is represented as:

f(x) = ax^2 + bx + c

By comparison, we have

a = 2

b =-4

c = 5

If the value of a is positive, the graph is a maximum.

Since the value of a is 2, then it means that the graph is a minimum

Hence, the graph of f(x) = 2x^2 - 4x + 5 is a minimum

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