Graphing Parabolas

Graph quadratic functions and identify key features.

1️⃣

Watch the video

Start here (or skip if you already know it)

2️⃣

Visualize it

Explore it, then spot the correct graph

3️⃣

Practice problems

Answer 3 problems (80%+ correct)

Step 1: Watch

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Graphing Quadratic Functions

The Organic Chemistry Tutor · 47:00

Play with the interactive model to see how the math works, then test yourself by spotting the correct graph.

Move the controls and watch the math change — build a picture in your head before you solve.

y = (x − 0)² − 2

Stretch (a)1Left/right (h)0Up/down (k)-2

The vertex is the turning point at (0, -2). Because a = 1 is positive, the parabola opens UP (smile).

Answer 3 problems with at least 80% correct to complete this skill.

Problem 1

Does y = −x² + 4 open up or down?

Tip: press 1–4 to pick an answer.

Press Enter to check

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