Completing the Square Answers

What is h(x) = 7 + 10x + x2 written in vertex form?

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Determine the vertex form of g(x) = x2 + 2x – 1. Which graph represents g(x)?

The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x – )2 – .

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

What is true about the function h(x) = x2 + 20x – 17? Check all that apply. The vertex of h is (–10, –117).The vertex form of the function is h(x) = (x + 20)2 – 17.The maximum value of the function is –17. To graph the function h, shift the graph of f(x) = x2 left 10 units and down 117 units.The axis of symmetry of function h is x = 20.

The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new function?