« previous next »

Author Question: How do you find the axis of symmetry and the vertex when dealing with quadratics? (Read 1576 times)

coco

  • Hero Member
  • *****
  • Posts: 739
on: Jun 18, 2013
Ex. y= x^2 -6x +  5


Millan

  • Sr. Member
  • ****
  • Posts: 368
Reply #1 on: Jun 18, 2013
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
« previous next »
 

Did you know?

One way to reduce acid reflux is to lose two or three pounds. Most people lose weight in the belly area first when they increase exercise, meaning that heartburn can be reduced quickly by this method.

Did you know?

Children of people with alcoholism are more inclined to drink alcohol or use hard drugs. In fact, they are 400 times more likely to use hard drugs than those who do not have a family history of alcohol addiction.

Did you know?

There used to be a metric calendar, as well as metric clocks. The metric calendar, or "French Republican Calendar" divided the year into 12 months, but each month was divided into three 10-day weeks. Each day had 10 decimal hours. Each hour had 100 decimal minutes. Due to lack of popularity, the metric clocks and calendars were ended in 1795, three years after they had been first marketed.

Did you know?

Elderly adults are living longer, and causes of death are shifting. At the same time, autopsy rates are at or near their lowest in history.

Did you know?

Chronic necrotizing aspergillosis has a slowly progressive process that, unlike invasive aspergillosis, does not spread to other organ systems or the blood vessels. It most often affects middle-aged and elderly individuals, spreading to surrounding tissue in the lungs. The disease often does not respond to conventionally successful treatments, and requires individualized therapies in order to keep it from becoming life-threatening.

How to find the critical numbers of a function How to find the critical numbers of a function
Find the torsion about the male neck? Find the torsion about the male neck?
Find the derivative of g(z) = 4z^7 - 3z^-7 + 9z Find the derivative of g(z) = 4z^7 - 3z^-7 + 9z
How to find the reaction for each of the beams below. How to find the reaction for each of the beams below.
A solenoid has an area of 41.0 cm2. Find the change in magnetic flux through the solenoid. A solenoid has an area of 41.0 cm2. Find the change in magnetic flux through the solenoid.
To rotate a matrix along the x-axis To rotate a matrix along the x-axis
Video: Glucose Evaluation Procedure

For a complete list of videos, visit our video library