Algebra 2 Final Basic Study Guide
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Algebra 2 Final Basic Study Guide

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Questions and Answers

What is the formula for velocity problems in feet per second?

FEET PER SECOND = Height(H) = velocity(v) x Time(T) - 16 x (T squared)

What is the formula for velocity problems in meters per second?

METERS PER SECOND = Height(h) = velocity(v) x Time(T) - 4.9 x (T squared)

What is the Quadratic Formula?

x = -b ± (√b² - 4ac) ÷ 2a

What is the standard quadratic form?

<p>ax² + bx + c = 0</p> Signup and view all the answers

What is the Quadratic Vertex Form?

<p>y = a(x-h)² + K</p> Signup and view all the answers

Study Notes

Velocity Problems Formula

  • Velocity is calculated using two formulas based on units:
    • For feet per second: Height (H) = velocity (v) x Time (T) - 16 x (T squared)
    • For meters per second: Height (h) = velocity (v) x Time (T) - 4.9 x (T squared)

Quadratic Formula

  • Used for solving quadratic equations, applicable across algebra topics.
  • Formula: x = -b ± (√b² - 4ac) ÷ 2a

Standard Quadratic Form

  • This form is crucial for identifying and applying the quadratic formula.
  • Standard form: ax² + bx + c = 0, where a, b, and c are constants, and a ≠ 0.

Quadratic Vertex Form

  • Represents a quadratic function, useful for graphing and identifying vertex properties.
  • Formula: y = a(x-h)² + k
  • The value of 'a' determines the direction of the parabola:
    • If a > 0, the parabola opens upwards and has a minimum vertex.

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Description

Prepare for your Algebra 2 final with this comprehensive study guide. It covers essential formulas including velocity problems and the quadratic formula, both of which are vital for understanding key concepts in algebra. Review these flashcards to strengthen your knowledge before the exam!

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