Author Question: How do you find the axis of symmetry and the vertex when dealing with quadratics? (Read 3573 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?

Drugs are in development that may cure asthma and hay fever once and for all. They target leukotrienes, which are known to cause tightening of the air passages in the lungs and increase mucus productions in nasal passages.

Did you know?

Everyone has one nostril that is larger than the other.

Did you know?

The top 10 most important tips that will help you grow old gracefully include (1) quit smoking, (2) keep your weight down, (3) take supplements, (4) skip a meal each day or fast 1 day per week, (5) get a pet, (6) get medical help for chronic pain, (7) walk regularly, (8) reduce arguments, (9) put live plants in your living space, and (10) do some weight training.

Did you know?

Your chance of developing a kidney stone is 1 in 10. In recent years, approximately 3.7 million people in the United States were diagnosed with a kidney disease.

Did you know?

The most common childhood diseases include croup, chickenpox, ear infections, flu, pneumonia, ringworm, respiratory syncytial virus, scabies, head lice, and asthma.

For a complete list of videos, visit our video library