Author Question: QUADRATICS: Find vertex from factored form without changing the form? (Read 1739 times)

camila

  • Hero Member
  • *****
  • Posts: 705
how do I find the vertex of this without changing the form?

f(x)= -0.7(1.1-x)(3.2+x)



Jones

  • Full Member
  • ***
  • Posts: 145
1) find the roots:
x= 1.1
x=-3.2

The axis of symmetry is x= (1.1 - 3.2) /2= -1.05
So the x coordinate of the vertex is -1.05

Sub x= -2.1 into f(x), and you'll get the y coordinate of the vertex.


So the vertex is (-1.05, f(-1.05) )

I think you can continue from there.... :)



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question

Hawke

  • Hero Member
  • *****
  • Posts: 679
the roots are 1.1 , - 3.2

so the vertex must be x = [1.1 + (-3.2)] / 2 = - 1.05 ( in the middle)



 

Did you know?

The use of salicylates dates back 2,500 years to Hippocrates’s recommendation of willow bark (from which a salicylate is derived) as an aid to the pains of childbirth. However, overdosage of salicylates can harm body fluids, electrolytes, the CNS, the GI tract, the ears, the lungs, the blood, the liver, and the kidneys and cause coma or death.

Did you know?

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

Did you know?

For about 100 years, scientists thought that peptic ulcers were caused by stress, spicy food, and alcohol. Later, researchers added stomach acid to the list of causes and began treating ulcers with antacids. Now it is known that peptic ulcers are predominantly caused by Helicobacter pylori, a spiral-shaped bacterium that normally exist in the stomach.

Did you know?

More than nineteen million Americans carry the factor V gene that causes blood clots, pulmonary embolism, and heart disease.

Did you know?

People who have myopia, or nearsightedness, are not able to see objects at a distance but only up close. It occurs when the cornea is either curved too steeply, the eye is too long, or both. This condition is progressive and worsens with time. More than 100 million people in the United States are nearsighted, but only 20% of those are born with the condition. Diet, eye exercise, drug therapy, and corrective lenses can all help manage nearsightedness.

For a complete list of videos, visit our video library