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
stira [4]
3 years ago
6

Write an equation for the parabola whose vertex is at (4, 9) and which passes through (5, 24).

Mathematics
1 answer:
babunello [35]3 years ago
8 0
The general formula to form a parabole equation is written below.
y = a(x - h)² + k
with (x,y) is one of the points lies on the parabola, and (h,k) is the vertex of the parabola.

From the question above, we get this information
(x,y) = (5,24)
(h,k) = (4,9)
The remaining value to find is a. We need to find the value of a to form the equation. Input the numbers to the equation.
y = a(x - h)² + k
24 = a(5 - 4)² + 9
24 = a(1) + 9
24 = a + 9
24 - 9 = a
a = 15

Write the equation, without inputing the value of x and y
y = a(x - h)² + k
y = 15(x - 4)² + 9
<em>This is the equation</em>
You might be interested in
Two lawn care companies are competing for a landscaping contract. Company A charges a $5 daily consulting fee plus $8 per square
gladu [14]
5 + 8s = 15 + 3s
8s - 3s = 15 - 5
5s = 10
s = 10/5
s = 2 <=== they will charge the same at 2 sq ft
8 0
3 years ago
The areaot a square is 36 cm? What<br> is the side length, s?
vichka [17]

Answer: 6

Step-by-step explanation: To find the side length of a square, you need to find the square root of the area because the side length squared is the area.

5 0
3 years ago
The expression 3 1/2x+18 represents the perimeter of the rectangle shown. Write an expression that represents the length of the
egoroff_w [7]

Answer:the answer  is a

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The volume of a cube 512 cubic inches. What is the length of the cube?
aleksandr82 [10.1K]

Answer:

I believe it is 8in

Step-by-step explanation:

someone correct me if I'm wrong

8 0
3 years ago
I NEED HELP!! ASAP PLEASE!!!
mariarad [96]

Answer:

D

Step-by-step explanation:

a:angles given do not necessarily prove that ADP and BCP is 30 they can be different

c:angles given are not in triangles

b:with regards to the square I don't think you can really prove the statement

5 0
3 years ago
Other questions:
  • The area of a certain rectangle is 288 yd2. The perimeter is 68 yd. What are the dimensions of the rectangle?
    10·1 answer
  • A population of bacteria is growing according to the exponential model P = 100e.70t, where P is the number of colonies and t is
    15·2 answers
  • -10.0-(-3.4)<br><br> also you have to simplify your answer
    6·2 answers
  • What is the area of the trapezoid with height 13 units?
    14·2 answers
  • Help 10 minutes please
    12·1 answer
  • What is 5 4/9 + 2 15/36 as a whole or mixed number??
    7·1 answer
  • you are given the expressions 76+n and 2n + 26. What is the smallest value of n that will make each number rational?
    12·1 answer
  • Electronics unlimited sells tvs. There are 110 tvs on display in the showroom, and each tv is turned on to a random channel from
    13·2 answers
  • −3x + 3 &lt; 6 can someone help
    11·2 answers
  • An investment of $8500 increases in value by 4.5% every year. How long until the investment
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!