9.4k views
4 votes
What is the vertex form of function f? f (x) = 2x^2 + 6x + 5

1 Answer

3 votes

Answer:

y = 2(x + 1.5)² + 0.5

Explanation:

"To convert the standard form y = ax² + bx + c to vertex form:

Extract a from the first two terms: y = a[x² + (b/a)x] + c.

Add and subtract (b/(2a))² inside the bracket: y = a[x² + (b/a)x + (b/(2a))² - (b/(2a))²] + c.

Use the short multiplication formula: y = a[(x + b/(2a))² - (b/(2a))²] + c.

Expand the bracket: y = a(x + b/(2a))² - b²/(4a) + c.

This is your vertex form with h = -b/(2a) and k = c - b²/(4a)."

^^ not my explanation!!

User Emnoor
by
8.5k points