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

write an equation of the line that is parallel to the given line and passes through the points y=-2x-6 (0,-4)

how do I describe an underground school?

The table shows Information about each of the Great Lakes it shows the elevation of the surface of each lake in elevation oh the deepest point of each lake b

8 x - 2 (x - 5) = x + 25 A. x = 4 B. x = 7 C. x = 3 D. x = 6

Identify the graph of f(x) = x2 + 3x – 4 f

A postal clerk sold some 33-cents stamps and some 23-cents stamps. Altogether, 15 stamps were sold for a total cost of $4.35. How many of each type of stamps we

The battles which followed were terrible indeed. The words of Queen Boadicea had stirred the Britons until they were mad with thoughts of revenge, and hopes of

Select the proper noun(s), Students at Chilton Academy are required to wear uniforms every day,

Hi I need someones help!! The question is Name the line(s) of reflection Select each correct answer • line d • line a • line b • line c

PLEASE HELP ME ON B PLEASE!