Find the vertex of the graph of the function. f (x) = (x - 10) 2 - 8

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Mathematics

Zayden English

10 April, 00:48

Find the vertex of the graph of the function. f (x) = (x - 10) 2 - 8

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Raquel Schmidt · Answer 1

F (x) = (x - 10) 2 - 8

Simplifying f (x) = (x + - 10) * 2 + - 8 Multiply f * x fx = (x + - 10) * 2 + - 8 Reorder the terms: fx = (-10 + x) * 2 + - 8 Reorder the terms for easier multiplication: fx = 2 (-10 + x) + - 8 fx = (-10 * 2 + x * 2) + - 8 fx = (-20 + 2x) + - 8 Reorder the terms: fx = - 20 + - 8 + 2x Combine like terms: - 20 + - 8 = - 28 fx = - 28 + 2x Solving fx = - 28 + 2x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = - 28x-1 + 2 Simplifying f = - 28x-1 + 2 Reorder the terms: f = 2 + - 28x-1