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Answer :
The Quadratic function's equation, the correct option isB.
The quadratic function that forms an upward parabola on a match plane with its vertex at( 4, 0), and passes through the points( 2, 4) and( 6, 4).
To determine which expression is a factor of the function's equation,
we can dissect the geste of the parabola and use the given points.
Simplifying the equation, Now, let's use the given points( 2, 4) and( 6, 4) to determine the value of. Plugging in these points into the equation, we have For the point( 2, 4) = ( 2 − 4) ², = 4. For the point( 6, 4) = ( 6 − 4) ², = 4.
We can see that the value of is the same in both equations, which means that is a constant. thus, any direct expression that simplifies to 4 will be a factor of the function's equation.
Among the given options, the expression that simplifies to 4 is option B. When we substitute into the expression, it yields 4, indicating that is a factor of the quadratic function's equation. Hence, the correct option isB.
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