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
OLEGan [10]
3 years ago
15

What's the equation of the parabola that has its vertex at (8,–14) and a point (5,13) that lies on the curve?

Mathematics
1 answer:
finlep [7]3 years ago
6 0

Answer:

The expression with the described characteristics is: y = 3*(x - 8)^2 - 14. Therefore the correct answer is letter D.

Step-by-step explanation:

I believe there is a typo in the vertex's coordinate, I think it should be (8,14). I came to this conclusion by observing the possible answers, if the given vertex is correct then there are no correct answers among them. I made my best effort to explain the question in a way that can be generalized for different vertex's coordinates.

The equations are given in their vertex form. This form has the following structure:

y = a*(x - h)^2 - k

Where (h,k) are the vertex's coordinates, in our case (8, 14). This knowledge makes easier to determine a equation with the correct vertex as shown below:

y = a*(x - 8)^2 - 14

Where the value of "a" must be determined by applying the given point.

13 = a*(5 - 8)^2 - 14\\13 = a*(3)^2 - 14\\a*9 = 27\\a = \frac{27}{9}\\a = 3

The expression with the described characteristics is: y = 3*(x - 8)^2 - 14. Therefore the correct answer is letter D.

You might be interested in
22-3(4)<br> How do I answer this question?
Ulleksa [173]

Answer:

76

Step-by-step explanation:

22-3=19

19x4=76

5 0
2 years ago
Read 2 more answers
For which values of x is the expression undefined? x+1/x-6
Morgarella [4.7K]

Answer:

x=6

Step-by-step explanation:

x+1

-------

x-6

The expression is undefined when the denominator is zero

x-6 =0

Solving for x

x+6-6 =0+6

x=6

4 0
2 years ago
At the beginning of the summer, Paul has $76. During the summer, he earns money by mowing lawns. The table shows the total amoun
san4es73 [151]
y<span> = 12x+76 is the answer to your question i know it was a little late but at least other people who would like to know can see it.</span>
3 0
3 years ago
What is 15% of 12 meters
melomori [17]
Think of the "of" as a multiplication sign:
(.15)(12)= 1.8 meters
There you go! hope this helps with this problem and future ones.
7 0
3 years ago
Read 2 more answers
What square root is larger that the square root of 17
Ymorist [56]

Answer:

i would have to say the square root of 26 since its 5.099

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Standard form- 12 ten thousands, 8 thousands,14 hundreds,7 ones
    8·1 answer
  • Please help. What additional information is needed to prove the triangles are congruent by the SAS Postulate
    6·2 answers
  • (8m6+ 4m) + (5m-m + 7m6) + 2m(5m2)
    10·1 answer
  • Which postulate can be used to prove that △ABD≅△CBD?
    7·2 answers
  • What is the slope of the line that passes through the points (7, -2 ) and ( -1, -5)
    5·1 answer
  • Find 2/5 % of 2,000.
    13·2 answers
  • What is x equal to in the following equation:
    8·1 answer
  • Pls helppp!!!!!!!!!!!!!
    12·1 answer
  • 10 dan büyük doğal sayılar 50 den küçük doğal sayılar 7 nın katı olan pozitif tam sayilar​
    9·1 answer
  • Can someone please solve this and save my life
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!