446 Chapter 8Graphing Quadratic FunctionsExercises8.4Dynamic Solutionsavailable at BigIdeasMath.com 1. VOCABULARY Compare the graph of an even function with the graph of an odd function. 2. OPEN-ENDED Write a quadratic function whose graph has a vertex of (1, 2). 3. WRITING Describe the transformation from the graph of f (x) ax2 to the graph of g(x) a(x h)2 + k. 4. WHICH ONE DOESN’T BELONG? Which function does not belong with the other three? Explain your reasoning.f (x) 2(x + 0)2f (x) (x 2)2 + 4f (x) 3(x + 1)2 + 1f (x) 8(x + 4)2 Vocabulary and Core Concept CheckVocabularyand Core ConceptCheckIn Exercises 5–12, determine whether the function is even, odd, or neither. (See Example 1.) 5. f (x) 4x + 3 6. g(x) 3x27.h(x) 5x + 2 8. m(x) 2x2 7x9. p(x) x2 + 8 10. f (x) 1 — 2 x11.n(x) 2x2 7x + 3 12. r(x) 6x2 + 5In Exercises 13–18, determine whether the function represented by the graph is even, odd, or neither.13.132x22y 14. 1x11335y15.24x2y 16. 1x2125y17.2x222y 18. 2x242yIn Exercises 19–22, nd the vertex and the axis of symmetry of the graph of the function.19. f (x) 3(x + 1)2 20. f (x) 1 — 4 (x 6)221. y 1 — 8 (x 4)2 22. y 5(x + 9)2In Exercises 23–28, graph the function. Compare the graph to the graph of f (x) = x2. (See Example 2.) 23. g(x) 2(x + 3)2 24. p(x) 3(x 1)225. r(x) 1 — 4 (x + 10)2 26. n(x) 1 — 3 (x 6)227.d(x) 1 — 5 (x 5)2 28. q(x) 6(x + 2)229. ERROR ANALYSIS Describe and correct the error in determining whether the function f (x) x2 + 3 is even, odd, or neither. f (x) = x2 3 f (−x) = (−x)2 3 = x2 3 = f (x)So, f (x) is an odd function.✗
30. ERROR ANALYSIS Describe and correct the error in nding the vertex of the graph of the function.y = −(x 8)2Because h = −8, the vertexis (0, −8).✗
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