Vertex Form Worksheet
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Vertex Form Worksheet
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Worked Example
Problem: Convert: y = x² − 6x + 5
- y = (x² − 6x) + 5— Group x-terms.
- Half of −6 is −3, squared is 9.— Find the completing-the-square value.
- y = (x² − 6x + 9) + 5 − 9 = (x − 3)² − 4— Add 9 inside, subtract 9 outside.
Answer: y = (x − 3)² − 4, vertex (3, −4)
Frequently Asked Questions
y = a(x − h)² + k. It directly reveals the vertex at (h, k).
Complete the square: group x-terms, add and subtract (b/2a)², rewrite as a squared binomial.
|a| > 1 narrows the parabola, |a| < 1 widens it. Positive a opens up, negative opens down.