Problem 87 of 7
Use completing the square to solve the optimization context: The squared distance from a point (x, y) on the line y=x+1 to the point (2,0) is given by D(x)=2x^2-2x+5. Find the minimum squared distance.
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Hidden until you reveal it.
model and interpret vertex as optimum.
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Context must be modeled by a quadratic with an interpretable optimum.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
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1. Complete the square to put the model in vertex form.
2. Use the leading coefficient to decide maximum or minimum.
3. Interpret the vertex coordinates in context.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
An algebraic vertex without interpreting what is maximized or minimized.