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
Sauron [17]
3 years ago
14

What is the equation of a quadratic graph with a focus of (-4,17/8) and a detric of y=15/8 answer

Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0

keeping in mind that the vertex is between the focus point and the directrix, in this cases we have the focus point above the directrix, meaning is a vertical parabola opening upwards, Check the picture below, which means the "x" is the squared variable.

now, the vertical distance from the focus point to the directrix is \bf \cfrac{17}{8}-\cfrac{15}{8}\implies \cfrac{2}{8} , which means the distance "p" is half that or 1/8, and is positive since it's opening upwards.

since the vertex is 1/8 above the directrix, that puts the vertex at \bf \cfrac{15}{8}+\stackrel{p}{\cfrac{1}{8}}\implies \cfrac{16}{8}\implies 2 , meaning the y-coordinate for the vertex is 2.

\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} h=-4\\ k=2\\ p=\frac{1}{8} \end{cases}\implies 4\left(\frac{1}{8} \right)(y-2)=[x-(-4)]^2\implies \cfrac{1}{2}(y-2)=(x+4)^2 \\\\\\ y-2=2(x+4)^2\implies \blacktriangleright y = 2(x+4)^2+2 \blacktriangleleft

You might be interested in
Find the quotient. Write your answer as a decimal.<br> 12.42 divided by (-4.8) =
MakcuM [25]

Answer:

Multiply the divisor by a power of 10 to make it a whole number.

Multiply the dividend by the same power of 10. Place the decimal point in the quotient.

Divide the dividend by the whole-number divisor to find the quotient.

7 0
2 years ago
Rectangle, Square, or Rhombus?
saveliy_v [14]

Answer:

maybe rhombus

Step-by-step explanation:

don't take my word for it

4 0
2 years ago
Read 2 more answers
HeLPP i need this fast please WILL GIVE BRANILIEST!! this is the only info they gave me soz
Morgarella [4.7K]
I’m sorry this isn’t an answer but what in the world are y’all learning what is this ?! i’m in high school & i don’t know this
3 0
2 years ago
Read 2 more answers
The cumulative distribution function of a continuous random variable is the probability that the random variable X is greater th
ivann1987 [24]

Answer:

The correct answer is False.

Step-by-step explanation:

The cumulative distribution function of a continuous random variable is the probability that the random variable X is less than or equal to x, where x is a specific value of the continuous random variable X.

The cumulative distribution function is a function that is usually derived from a continuous random variable. We actually calculate the area underneath a probability density function between two points.

6 0
3 years ago
Beth read a total of 12 books over 7 months.
givi [52]

She has been with her book club for 49 months.

Step-by-step explanation:

Books read = 12 books

Time period = 7 months

Therefore,

12 books = 7 months

1 book = \frac{7}{12}\ months    

Books read so far = 84 books

Total time period = x

84 books = x months

1 book = \frac{x}{84}\ months

Using both unit rates;

\frac{x}{84}=\frac{7}{12}\\x=\frac{7}{12}*84\\x=\frac{588}{12}\\x=49\ months

She has been with her book club for 49 months.

Keywords: Unit rates, multiplication

Learn more about multiplication at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

8 0
3 years ago
Other questions:
  • Evaluate -3 3 <br> -27<br> -9<br> 9<br> 27
    5·2 answers
  • Solve for b. 13/b = 8/1 A. b=1.25 B. b=1.26 C. b=16.25 D. b=1.625
    14·1 answer
  • Question 3: On a recent math quiz, 20 of the 32 students who took the
    13·1 answer
  • Simplify 9x^0y^-3 write your answer using only positive exponents 
    9·1 answer
  • Find the value of x for which l || m
    6·1 answer
  • If a retailer has an item that is priced at $3.54 and wants to sell it for 20% less, the markdown will be _____.
    11·2 answers
  • Which function describes the arithmetic sequence shown?<br> 3,1,-1,-3-5.-7...
    10·1 answer
  • What is the classification of the pair of angles shown?
    12·1 answer
  • Helppppppppppppppppppp plsss
    15·1 answer
  • a 20 cm nail just fits inside a cylindrical can. three identical spherical balls need to fit entirely within the can. what is th
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!