Final: The Peak

Part of the Quadratics & Complex Numbers section of Coddy's Algebra 2 journey. Lesson 45 of 48.

Write the quadratic on the board in vertex form, a times a square plus a number. Its leading number is negative and is not -1, so the parabola opens down, and the vertex you find is its highest point.

Challenge

Write $-2{x}^{2}+8x-3$ in vertex form.

Try it yourself

-2x^{2}+8x-3

Write it in vertex form

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Quadratics & Complex Numbers

1The Vertex

The Axis of Symmetry Drawing from Standard Form Maximum or Minimum Recap: 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 AwayFinal: The PeakFinal: Divide It Final: No Real Roots Final: Where They Meet

2Completing the Square

The Missing Number Completing the Square 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