**Checking Analytic Skills** For each quadratic function defined in Exercises 25–33, (a) use the vertex formula to find the coordinates of the vertex and (b) graph the function. *Do not use a calculator.* 25. \( P(x) = x^2 - 10x + 21 \) 26. \( P(x) = x^2 - 2x + 3 \) 27. \( y = -x^2 - 2x + 5 \) 28. \( y = -x^2 + 2x + 1 \) 29. \( P(x) = 2x^2 - 4x + 5 \) 30. \( P(x) = 2x^2 + 8x + 7 \) 31. \( P(x) = -3x^2 + 24x - 46 \) 32. \( P(x) = -2x^2 - 6x - 5 \) 33. \( P(x) = 2x^2 + 10x + 12 \) 34. **Concept Check** For \( f(x) = dx^2 - \frac{1}{2}dx + k \), \( d \neq 0 \), find the x-coordinate of the vertex.

Checking Analytic Skills For each quadratic function defined in Exercises 25–33, (a) use the vertex formula to find the coordinates of the vertex and (b) graph the function. Do not use a calculator. 25. \( P(x) = x^2 - 10x + 21 \) 26. \( P(x) = x^2 - 2x + 3 \) 27. \( y = -x^2 - 2x + 5 \) 28. \( y = -x^2 + 2x + 1 \) 29. \( P(x) = 2x^2 - 4x + 5 \) 30. \( P(x) = 2x^2 + 8x + 7 \) 31. \( P(x) = -3x^2 + 24x - 46 \) 32. \( P(x) = -2x^2 - 6x - 5 \) 33. \( P(x) = 2x^2 + 10x + 12 \) 34. Concept Check For \( f(x) = dx^2 - \frac{1}{2}dx + k \), \( d \neq 0 \), find the x-coordinate of the vertex.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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