miamthompson miamthompson

11-05-2016
Mathematics

contestada

what is the vertex f(x)= 5x^2+20x-16

Respuesta :

meerkat18 meerkat18

19-05-2016

f(x) = 5x² + 20x - 16

y = 5(x² + 4x) - 16
y + 16 = 5(x² + 4x + __)

perfect square:
x² ⇒ x * x
4x ⇒ 2*2x
2² = 4

y + 16 + 4 = 5(x² + 4x + 4)
y + 20 = 5(x+2)²

(x+2)² ⇒ (x+2)(x+2) = x(x+2) + 2(x+2) = x² + 2x + 2x + 4 = x² + 4x + 4

y = 5(x+2)² - 20

Answer Link

Otras preguntas

Helppp meeeeee plsss )):

name two lines that intersect and the point where they intersect ?

What step in the water cycle involves returning of fresh water to the Earth?

0.18 in standard form

Which best explains how Melville uses his description of Ahab in Chapter 28 of Moby-D|ck to comment on the nature of man? A.)Through Ahab, Melville symbolizes h

Problem - Gretchen is setting up for a banquet. She has 300 chairs and needs to distribute them evenly among t tables. How many chairs should she put at each t

100^a x 1000^b can be written in the form 10^w show that w = 2a + 3b

-5x<-15x+40 Solve the following inequality for x

Determine whether the following statement is true or false. Explain. When obtaining a stratifiedâ€‹ sample, the number of individuals included within each strat

Who has more power, Jupiter or Prometheus?