1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scorpion4ik [409]
3 years ago
8

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

Mathematics
1 answer:
trasher [3.6K]3 years ago
6 0

Answer:

Hello,

Step-by-step explanation:

do I remind you of the formula :

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

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.\\

Focus=(-4,-2)

Directrix: y=0

Vertex=(-4,-1)

You might be interested in
Barb solved the following equation: 4(3x – 12) = 5(2x + 6)
katrin2010 [14]

Answer:

4(3 * 39 – 12) = 5(2 * 39 + 6)

x = 39


Step-by-step explanation:

4(3x – 12) = 5(2x + 6)

(12x - 48) = (10x + 30)

12x - 10x = 30 + 48

2x = 78

2x/2 = x

78/2 = 39

x = 39

No Prob :)

5 0
3 years ago
Read 2 more answers
One wet weekend, 0.86 inches of rain fell on saturday. the next day, 1.52 inches of rain fell. how many inches of rain fell over
nataly862011 [7]

0.86 + 1.52 = 2.38 inches of rain fell over the weekend

4 0
3 years ago
Read 2 more answers
What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x
Serggg [28]

Answer:

The equation of this line would be 4x + y = 13

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. To do this, we solve the original equation for y.

4x + y - 2 = 0

4x + y = 2

y = -4x + 2

The original slope (the coefficient of x) is -4, which means the new slope will also be -4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line. Just plug in the numbers and solve for the coefficient.

y - y1 = m(x - x1)

y + 3 = -4(x - 4)

y + 3 = -4x + 16

4x + y + 3 = 16

4x + y = 13

4 0
3 years ago
Which polynomial is written in descending order?
Anarel [89]

The ascending or descending order of a polynomial is determined by the increasing or decreasing power of variable “x” respectively.

<span>The question is to find about the polynomial in descending order, so in this case, the 3rd option is correct, i.e. 4x^2 – 3x + 9 or 4x^2 – 3x^1 +9x^0. The power of “x” decreasing from 2 to 1 and then finally to 0.</span>

4 0
3 years ago
Scientific Notation
Katarina [22]
3.615 x 10^2 i hope this helps

3 0
2 years ago
Read 2 more answers
Other questions:
  • There were 29 students available for the woodwind section of the school orchestra. 11 students could play the flute, 15 could pl
    13·1 answer
  • How do I solve this problem
    14·1 answer
  • You have $859 saved for a new bedroom suite. You need $1,200. How much more do you need to save? A. $349 B. $301 C. $341 D. $321
    7·2 answers
  • A nurse worked from 8:15 am until 11:30 am and 12:30 pm until 4:15 pm. Estimate the total number of hours worked.
    11·1 answer
  • Maria is buying new carpet. Her bedroom is in the shape of a square and the length id each side is 12 feet. Write and simplify a
    15·1 answer
  • HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • 3<br> Graphe X-4<br> Graphy<br> Camdv,<br> rahy 5<br> Y=X-5<br> Y=4<br> 3<br> 2<br> y = 3<br> 5
    14·1 answer
  • Can someone please help me out with this question?
    14·1 answer
  • Help
    13·1 answer
  • PLEAAseeeeeeeeeeeeeeeeeeeeeee
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!