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
RUDIKE [14]
3 years ago
15

What is the equation of the following graph in vertex form?

Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

The equation in vertex form is:

y=(x-2)^2+1

Step-by-step explanation:

Recall that the formula of a parabola with vertex at (x_{vertex},y_{vertex}) is given by the equation in vertex form:

y=a\,(x-x_{vertex})^2+y_{vertex}

where the parameter "a" can be specified by an extra information on any other point apart from the vertex, that parabola goes through.

In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:

y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-2)^2+1

we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter a:

y=a\,(x-2)^2+1\\5=a(0-2)^2+1\\5=a\,*\,4+1\\5-1=4\,a\\4=4\,a\\a=1

The, the final form of the parabola's equation in vertex form is:

y=(x-2)^2+1

You might be interested in
(2x -5) - 1.75(x+4) simplify
Strike441 [17]

Step-by-step explanation:

=0.25x-12 I hope this helped:)

8 0
3 years ago
Read 2 more answers
Really need you guys help on this problem... please help me
erma4kov [3.2K]
Here it is.. you need to calculate some numbers

3 0
3 years ago
C(1)=−20<br> c(n)=c(n−1)+10<br><br> Find the second term in the sequence. <br> ​
svet-max [94.6K]

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

5 0
3 years ago
Which equation is equivalent to
marshall27 [118]
Answer:

C) 29x=5

reason:

first, distribute the parentheses
this will make your equation 8-20x=6-3+9x
simplify to get 8-20x=3+9x
add 20x to both sides to get 8=3+29x
subtract 3 from both sides to get 5=29x
3 0
3 years ago
When twice a certain number is added to 7,the result is less than 17.what is the number.​
EleoNora [17]

Answer: 2?

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Just an answer is needed, no explanation.
    12·2 answers
  • Three fourths of a number is -27 . What is the number ?????
    7·1 answer
  • I need help wiith all❤️It’s urgent please
    9·1 answer
  • Problem 9-10 The elongation of a steel bar under a particular tensile load may be assumed to be normally distributed, with a mea
    10·1 answer
  • ASAP!!! PLEASE help me with this question!!!!!
    12·2 answers
  • Which of the following statements have the same result? Explain each step in solving each one.
    9·1 answer
  • PLS HELP ME WILL GIVE BRAIN THING
    11·2 answers
  • A b c or d..................
    12·2 answers
  • PLEASE HELP ME! THERE IS A PICTURE
    5·2 answers
  • This figure represents a planter that is to be filled with soil. How much soil will it take to fill the planter? Enter your answ
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!