Author Question: How do you find the axis of symmetry and the vertex when dealing with quadratics? (Read 3105 times)

coco

  • Hero Member
  • *****
  • Posts: 739

Millan

  • Sr. Member
  • ****
  • Posts: 368
You have to turn it into vertex form: y=(x-h)^2+k where h and k are the vertex.

To do that, you need to "complete the square" - A fast way to factor a quadratic

y=(x^2-6x+___)+5-___
To find the spot in the blank, do (b/2)^2
(-6/2)^2=+9
y=(x^2-6x+9)+5-9
y=(x^2-6x+9)-4
The parenthesis area can be factored into (x-3)(x-3) which = (x-3)^2

Thus, you vertex form is y=(x-3)^2-4
Your axis of symmetry is +3, vertex is (+3, -4)



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
 

Did you know?

In the United States, an estimated 50 million unnecessary antibiotics are prescribed for viral respiratory infections.

Did you know?

The first-known contraceptive was crocodile dung, used in Egypt in 2000 BC. Condoms were also reportedly used, made of animal bladders or intestines.

Did you know?

Long-term mental and physical effects from substance abuse include: paranoia, psychosis, immune deficiencies, and organ damage.

Did you know?

The longest a person has survived after a heart transplant is 24 years.

Did you know?

Amphetamine poisoning can cause intravascular coagulation, circulatory collapse, rhabdomyolysis, ischemic colitis, acute psychosis, hyperthermia, respiratory distress syndrome, and pericarditis.

For a complete list of videos, visit our video library