pultimax
pultimax pultimax
  • 01-02-2020
  • Mathematics
contestada

What is the quadratic function that is created with roots -10 and -6 and a vertex at (-8, -8)?

Respuesta :

PollyP52 PollyP52
  • 01-02-2020

Answer:

f(x) = x^2 + 16x + 56.

Step-by-step explanation:

The vertex form is:

y = a(x + 8)^2 - 8 where  a is a constant.

When x = -6, y = 0 so:

0 = a (-6+8)^2 - 8

4^2a  = 8

a = 1

So the function is y = (x + 8)^2 - 8

in standard form this is

y = x^2 + 16x + 64 - 8

y = x^2 + 16x + 56.

Answer Link

Otras preguntas

Sales The cumulative sales S (in thousands of units) of a new product after it has been on the market for t years are modeled by S = 50(1 - ekt). During the f
Kara is entering a national speech contest. She wants to use a method of delivery that has the most potential for eye contact with the audience, because she wan
A triangle has a height that the length of its base. If the length of its base is 24 cm, what is its area?
-2 1/4 ÷ (-3 1/3) = I will give brainliest
Suppose that a student did not stop the timer as soon as bubbling stopped during a test at 40°C. Check all possible resulting errors. Measurements at all temper
The distance between port M and port N is 162m. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first shi
As the child moves from left to right, at which point will the maximum kinetic energy be reached
A car travels at 60 mph for 10 hours. Calculate the distance it travels.
Find the angular displacement of 8.3 revolutions.
Josie's water bottle has a capacity of 2 liters. What is the capacity of her water bottle in milliliters?