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
The distance between -2 1/4 and 1 1/2
BARSIC [14]

Answer:

its 3 3/4 :)

Step-by-step explanation:

3 0
2 years ago
What is the value of the 4 in 3.954
antiseptic1488 [7]

Answer:

The value is ones lol thats easy mark me brainliest plzzz

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
a recipe of cookies uses 220 g of butter and 110 g of caster sugar and 275 grams of flour what is the ratio of sugar to flour to
andre [41]

Answer: 22 to 55 to 44


Step-by-step explanation: Start with the factors you know. It can't be two because 2 doesn't go into 275 evenly. It can't be three because all of them evenly don't go into three. It can't be four because 110 and 275 don't go into it evenly. But five works. 110/ 5 is 22, 275/ 5 is 55, and 220/ 5 is 44.


7 0
2 years ago
A cargo plane flew from the US across the Atlantic at 212 mph, and flew back to the US at 232 mph. Given that the first trip too
expeople1 [14]

The return trip was 21.2 hours long.

Step-by-step explanation:

Given,

Speed of plane from US = 212 mph

Speed of plane on return trip = 232 mph

Let,

x be the time taken on return trip.

Time taken from US = x+2

We know that;

Distance = Speed * Time

Distance of plane from US = 212(x+2) = 212x+424

Distance on return trip = 232x

As the distance will be same, therefore,

232x=212x+424\\232x-212x=424\\20x=424

Dividing both sides by 20

\frac{20x}{20}=\frac{424}{20}\\x=12.2\ hours

The return trip was 21.2 hours long.

Keywords: distance, speed

Learn more about speed at:

  • brainly.com/question/12960754
  • brainly.com/question/12967961

#LearnwithBrainly

5 0
3 years ago
PUZZLE #2
Maksim231197 [3]
I have no clue I don’t understand this
4 0
2 years ago
Other questions:
  • Explain how to subtract 247 from 538
    5·2 answers
  • Choose the graph of the function given below.f(x) = 2x+1
    11·1 answer
  • PLEASEEE HEEELLLPPP MEE!
    12·2 answers
  • If 8x-4=6x-10, find the value of 3x
    5·2 answers
  • Help me out with number 3
    12·1 answer
  • I need help with my math! It is Rules of exponents. Can anyone help me?
    8·1 answer
  • The quadratic function h(t) = -16.1t^2+ 150 models a ball's height, in feet, over time, in seconds,
    5·2 answers
  • How many total blocks would be needed to build the model for the given base plan?
    7·1 answer
  • How much interest will Henry save if he finances the vehicle over 36 months instead?
    7·1 answer
  • QUICK <br>is -1 1/2 a rational number?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!