QUADRATICS: Find vertex from factored form without changing the form?

« previous next »

Author Question: QUADRATICS: Find vertex from factored form without changing the form? (Read 1726 times)

camila

Hero Member
Posts: 705

on: Jun 17, 2013

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

Reply #1 on: Jun 17, 2013

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....

Need homework help now?

Ask unlimited questions for free

Ask a Question

Hawke

Hero Member
Posts: 679

Reply #2 on: Jun 18, 2013

the roots are 1.1 , - 3.2

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

« previous next »

Did you know?

Sperm cells are so tiny that 400 to 500 million (400,000,000–500,000,000) of them fit onto 1 tsp.

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?

Signs and symptoms that may signify an eye tumor include general blurred vision, bulging eye(s), double vision, a sensation of a foreign body in the eye(s), iris defects, limited ability to move the eyelid(s), limited ability to move the eye(s), pain or discomfort in or around the eyes or eyelids, red or pink eyes, white or cloud spots on the eye(s), colored spots on the eyelid(s), swelling around the eyes, swollen eyelid(s), and general vision loss.

Did you know?

Over time, chronic hepatitis B virus and hepatitis C virus infections can progress to advanced liver disease, liver failure, and hepatocellular carcinoma. Unlike other forms, more than 80% of hepatitis C infections become chronic and lead to liver disease. When combined with hepatitis B, hepatitis C now accounts for 75% percent of all cases of liver disease around the world. Liver failure caused by hepatitis C is now leading cause of liver transplants in the United States.

Did you know?

Green tea is able to stop the scent of garlic or onion from causing bad breath.