rarespess rarespess
  • 05-08-2021
  • Mathematics
contestada

y = −1 / 4 (x + 4) 2 −1 on a coordinate plane using its vertex, focus, and directrix.

Respuesta :

caylus
caylus caylus
  • 05-08-2021

Answer:

Hello,

Step-by-step explanation:

do I remind you of the formula :

where (a,b) is the vertex and y=k the directrix

[tex]y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{(x+4)^2}{4} -1 \\\\Using\ identification:\\a=-4\\2(b-k)=-4\\b+k=-2\\\\\left\{\begin{array}{ccc}b-k&=&-2\\b+k&=&-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2b&=&-4\\2k&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&-2\\k&=&0\\\end{array}\right.\\[/tex]

Focus=(-4,-2)

Directrix: y=0

Vertex=(-4,-1)

Answer Link

Otras preguntas

is 17/14 irrational ……………………..
Use the matrix tool to solve the system of equations. Choose the correct ordered pair. 7x + 2y = 41 8x + 8y = 64
3. The air in the stratosphere does a lot of mixing because it is unstable.true or false
what are tye tyoe of insurance​
The problem with self-selection in research is that:____. a. it violates ethical guidelines. b. it makes causal interpretations difficult. c. people often ove
11. What is the temperature of the water?
Youlanda bought a new laptop for $459 and paid 7.5% in sales tax. How much did Youlanda pay in sales tax?
Dr. Swartz, a general practitioner, is usually late for all his appointments, and patients have to wait for hours to see him. At present, he has open office hou
Find the total of thirty-two, eighteen and fifteen.
I have no clue how to solve this.