Livv2300 Livv2300
  • 11-05-2018
  • Mathematics
contestada

Given ​ f(x)=x2+14x+40 ​.


Enter the quadratic function in vertex form in the box.

Respuesta :

altavistard
altavistard altavistard
  • 14-05-2018
Please indicate exponentiation using " ^ "   Thanks.

f(x)=x2+14x+40 => f(x)=x^2+14x+40

Next, complete the square:

f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9 

Write this in the form y = (x+7)^2 - 9  or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9

In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).
Answer Link

Otras preguntas

subtract -b+3 from -11-4
The moral in The Wife of Bath's Tale?
Rounded to three decimal places, what is the value or r for this set of data? x=8,15,3,7,2,14,20 y=50,75,23,31,18,68,98 1)0.870 2)0.897 3)0.978 4)0.989
The recipe call for 2 cups of flour and 7 cranberries. If the new recipe calls for 49 cranberries how many cups of flour are needed .?
Which of these is a modern day result of the Spanish colonization of the Americas?
Identify the element formed when carbon-14 (14C) undergoes radioactive decay. [1]
Why was the Secretary of War given a new title?
Identify two processes that formed the unconformity at WZ.
What is the best definition of plot? A. When the story takes place B. Where the story takes place C. What is happening in the story D. Who is in the s
According to Truman,what was one of the primary objects of theU.S foreign policy