Recap: The Vertex

Part of the Quadratics & Complex Numbers section of Coddy's Algebra 2 journey. Lesson 5 of 51.

Challenge

Find the height of the vertex of g(x) = -x^2 - 6x + 1. Its axis is x = -3, so the board holds g(-3). Use the rule, then type the arithmetic line by line. Since a is negative, the number you get is the largest value g ever reaches.

Try it yourself

g(-3)

Simplify the expression

All lessons in Quadratics & Complex Numbers

1The Vertex

The Axis of Symmetry The Vertex Point Maximum or Minimum Drawing from Standard FormRecap: The Vertex

4Imaginary Numbers

Meet i Roots of Negatives Not a Perfect Square Powers of i Recap: Imaginary Numbers

7The Discriminant

Computing It Three Kinds of Answers Reading the Sign Recap: The Discriminant

10Final Challenges

Final: Square It Away Final: The Peak Final: Divide It Final: No Real Roots Final: Where They Meet

2Completing the Square

Perfect Square Trinomials The Missing Number Completing the Square Irrational Answers When a Is Not 1 Recap: Completing the Square

5Complex Arithmetic

Adding and Subtracting Multiplying The Conjugate Dividing A Pure Imaginary Bottom Recap: Complex Arithmetic

8Lines Meet Parabolas

Two Crossings Just Touching No Meeting A Circle and a Line Recap: Lines and Parabolas

3Vertex Form by Algebra

From Standard to Vertex Odd Middle Terms A Leading Number Opening Down Recap: Vertex Form

6Complex Solutions

Squares Equal to Negatives A Shifted Square The Formula Goes Complex Fractions in the Answer Recap: Complex Solutions

9Quadratic Models

The Highest Point Back to the Ground The Biggest Area Price and Revenue Recap: Models