When completing the square you room aiming to compose your function in the format:

a(x+b)^2 + c

The first step will certainly be factoring out the coefficient editing the x^2 term; in this case 4:

4x^2 + 12x + 9 = 0

4(x^2 + 3x + 9/4) = 0

Looking simply inside the parentheses we room aiming to create this expression together a square. Starting with simply the x^2 and 3x terms we will shot to write them as a square the will an outcome in x^2 + 3x however not worry around the constant term that outcomes yet.

You are watching: 4x^2+12x+9

(x + 3/2)^2

(x + 3/2)*(x + 3/2)

x^2 + 3x/2 + 3x/2 + 9/4

x^2+ 3x + 9/4

Because this specifically matches our initial expression, no further manipulation is necessary for the constant term meaning we can rewrite the original role as:

f(x) = 4(x + 3/2)^2

upvote • 0 Downvote
More
Report

## Still in search of help? acquire the best answer, fast.

acquire a cost-free answer to a rapid problem. Most questions answered in ~ 4 hours.

OR
discover an online Tutor currently

select an expert and meet online. No packages or subscriptions, pay only for the moment you need.

¢ € £ ¥ ‰ µ · • § ¶ ß ‹ › « » > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ø œ š ù ú û ü ý þ ÿ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω ℵ ϖ ℜ ϒ ℘ ℑ ← ↑ → ↓ ↔ ↵ ⇐ ⇑ ⇒ ⇓ ⇔ ∴ ⊂ ⊃ ⊄ ⊆ ⊇ ⊕ ⊗ ⊥ ⋅ ⌈ ⌉ ⌊ ⌋ 〈 〉 ◊

### RELATED TOPICS

mathematics Algebra 2 Calculus Geometry Algebra Inequalities Word problem Algebra question Equations straight Equations ... Functions Word problems Algebra aid Algebra Equation Math aid Algebra Word problem Mathematics mathematics Word difficulty Algebra 1 Word problem Math assist For college

### RELATED QUESTIONS

how to carry out I make a graph?

how do I understand my answer?

how do you settle 8x+32/x^2-16

12p+15c>360

12p+15c>360

### RECOMMENDED TUTORS Abigail W.

5.0 (648) Samuel S.

4.4 (222) Chris J.

5.0 (2,509)
See much more tutors

### find an virtual tutor

A attach to the application was sent to her phone.

See more: How Fast Is A Ktm 85 Go? How Fast Does A 85 2 Stroke

acquire to recognize us
find out with us
job-related with united state
Let’s keep in touch
Need an ext help?   