Trigonometry and Quadratic Functions Quiz
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Questions and Answers

Find the measure of each side indicated. Round to the nearest tenth.

10.6

  1. Domain:

Range:

Domain: -2, 0, 1

Range: -1, 2, 4

Write in vertex form or graphing form.

  1. y = x^2 + 2x - 3

y = (x + 1)^2 - 4

Write in vertex form or graphing form.

  1. y = x^2 + 10x + 16

<p>y = (x + 5)^2 - 9</p> Signup and view all the answers

Evaluate each function.

  1. f(n) = 4n + 2; Find f(-5)

<p>-18</p> Signup and view all the answers

Study Notes

Problem 1

  • Find the measure of side x.
  • Side AB = 8
  • Angle A = 41°
  • Angle C = 90°
  • Use the trigonometric ratios.
  • Find side x using the sine rule

Problem 2

  • Find the measure of side x.
  • Side AB = 5
  • Angle A = 42°
  • Angle C = 90°
  • Use the trigonometric ratios.
  • Find side x using the cosine rule

Problem 3

  • Domain: All real numbers
  • Range: y ≤ 2

Problem 4

  • Domain: All real numbers
  • Range: y ≤ 4

Problem 5

  • Write the equation in vertex form
  • y = x² + 2x - 3

Problem 6

  • Write the equation in vertex form
  • y = x² + 10x + 16

Problem 7

  • f(n) = 4n + 2
  • Find f(-5)
  • Substitute n = -5 into the equation
  • f(-5) = 4 * (-5) + 2
  • f(-5) = -18

Problem 8

  • f(x) = (x + 4)² − 6
  • Find f(x) when f(x) = 3
  • Substitute f(x) = 3 into the equation
  • 3 = (x + 4)² − 6

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Description

Test your understanding of trigonometric ratios and quadratic equations with this comprehensive quiz. Solve problems using the sine and cosine rules, and convert equations into vertex form. Perfect for students looking to reinforce their math skills.

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