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
klio [65]
3 years ago
15

Write the equation of the parabola in vertex form. Vertex (2,1), point (3, -4)

Mathematics
1 answer:
Ket [755]3 years ago
6 0

Answer:

U=1-5(x-2)^2

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y=a(−h+x)2+k

Thus, the equation of the parabola is y=a(x−2)2+1

To find a, use the fact that the parabola passes through the point (3,−4): −4=a+1

Solving this equation, we get that a=−5

Thus, the equation of the parabola is y=1−5(x−2)^2

You might be interested in
What are the x-intercepts of a parabola with a vertex of (-1,-16) and a y-intercept of (0,-15)?
Svetlanka [38]
The vertex-form equation is
  y = a(x+1)² -16
Putting in the y-intercept values, we have
  -15 = a(0+1)² -16
  1 = a . . . . . . . . . . . add 16

Then the x-intercepts can be found where y=0.
  0 = (x+1)² -16
  16 = (x+1)²
  ±4 = x+1
  x = -1 ± 4 = {-5, 3}

8 0
3 years ago
Find total surface area
earnstyle [38]
7x9 = 63
63x2 = 126
126 is the surface area
5 0
3 years ago
Nolan plots a point at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points
Alenkasestr [34]
Y=2x+3
.......................
5 0
3 years ago
Read 2 more answers
‼️‼️‼️HELP HELP ASAP PLEASE AND THANK YOU AND DONT FORGET TO SHOW WORK ILL MARK YOU THE BRAINLIEST ‼️‼️‼️​
solniwko [45]

Answer:

1809.557368

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How do you solve f(x) = 800(1.09)3x
natta225 [31]

Answer:

2616x

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • 20)
    9·2 answers
  • 10 times as many as 6 hundreds is 60 hundreds
    13·1 answer
  • In the figure, angle D measures 31° and angle A measures 27°.
    9·1 answer
  • Help will mark brainliest............
    10·1 answer
  • 9x9 = 81<br> 9<br> 18<br> 27<br> 36<br> 45 <br> 54<br> 63<br> 72<br> 81
    15·1 answer
  • If a boy has 4 pairs of shorts, 8 shirts, and 2 pairs of shoes, how many different outfits could he wear?
    13·1 answer
  • Patricia and Greg are both planting rectangular flower gardens. Patricia’s garden measures 7 ft × 12 ft .Greg’s garden measures
    6·1 answer
  • 19 of the 41 students in Bert's grade have a pet. What is the ratio of the number of students who have a pet to the total number
    10·1 answer
  • Sadie started reading at 3:31 and finishes at 6:10. How long did Sadie read?
    11·1 answer
  • Flying against the wind, an airplane travels 4340 kilometers in 7 hours. Flying with the wind, the same plane travels 3120 kilom
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!