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H (x)=(-4x -5)(-x +5)

User Greg Price
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H (x)=(-4x -5)(-x +5)-example-1
User Trevor Newhook
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The quadratic function H(x) = (-4x - 5)(-x + 5) expands to 4x^2 - 15x - 25. This represents a parabolic curve, illustrating the relationship between the variable x and the function's output.

The expression H(x) = (-4x - 5)(-x + 5) represents a quadratic function. To find the expanded form, you can use the distributive property:

H(x) = (-4x - 5)(-x + 5)

H(x) = -4x(-x) + (-4x)(5) - 5(-x) - 5(5)

H(x) = 4x^2 - 20x + 5x - 25

Combine like terms:

H(x) = 4x^2 - 15x - 25

So, the expanded form of H(x) is 4x^2 - 15x - 25. This equation represents the relationship between the variable, which here is 'x', and the function's output, showcasing that it has a quadratic nature.

User Ubik
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