nevelpapperman96
nevelpapperman96 nevelpapperman96
  • 12-12-2020
  • Mathematics
contestada

Complete the square and put this function in vertex form: f(x)=x^2+20x+96

Respuesta :

ethansun2018
ethansun2018 ethansun2018
  • 12-12-2020

Answer:

f(x) = (x+10)^2 - 4

Step-by-step explanation:

vertex form is y = a(x-h)^2+k

to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something

to find that number take 20, divide by 2, and then square it to get 100.

so, you would get f(x)+100 = x^2+20x+100+96

subtract 96 on both sides: x^2+20x+100 = f(x) + 4

factor: f(x) = (x+10)^2 - 4

Answer Link

Otras preguntas

Find the area of the shape shown below.
what did the morrill land grant provide
what is equal to 13π/4 radians
Proszę o pomoc! 4 W każdym zdaniu znajdź jeden błąd gramatyczny i popraw go. 1 This is oldest building in our city. 2 Your bag is more colourful than my. 3
how to do geometry ​
A real world situation for the equation 0.5n=12.5
lusia hiked 7 miles of a 21 mile trail what percent of the trail did she hike
how did the louisiana purchase help our country
What nickname does Cornelius Vanderbilt acquire and how does he acquire it
Which statement BEST reflects the development of children's preference for same-gender peers? In preschool, children have compatible interests with members of t