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
e-lub [12.9K]
3 years ago
6

Y=x^2-6x+3 help write the vertex form of the equation

Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
  • c → constant

You need to convert this to vertex form:

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

where:

  • (h,k) → vertex

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

x=-\frac{b}{2a}

Using your original equation, identify the a, b, and c terms:

a=1\\\\b=-6\\\\c=3

Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

Simplify. Two negatives make a positive:

x=\frac{6}{2} =3

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

y=3^2-6(3)+3

Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

y=(x-3)^2-6

:Done

You might be interested in
What is the median of the following string of values?<br> 55, 18, 58, 49, 8, 77, 62, 26, 7.11
LuckyWell [14K]

Answer:

The answer is 49 if we are to assume you meant 7.11 and not 7,11.

If you meant 7,11 - the answer is 28.5.

Step-by-step explanation:

If we are assuming you meant "7,11" and not "7.11", then we would start by removing the lowest and highest numbers from the list respectively, and repeating the process until you only have 1 or 2 numbers left.

Here are the pairs of numbers removed if we are assuming you meant 7.11;

7.11 / 77

8 / 62

18 / 58

26 / 55

We are left with 49, and that would be your median.

However, if we were to assume you meant 7,11, then we'd have to start over and repeat the process.

7 / 77

8 / 62

11 / 58

18 / 55

26 / 49 is our final answer; however we are not to assume this as we need a definite number. To resolve this, we would need to average the two numbers. To do this, we add them together and divide by how many numbers we added.

26 + 49 = 75.

75 / 2 = 28.5

Your median for this would be 28.5.

Hope this helps! Have a great rest of your day. :)

3 0
2 years ago
Read 2 more answers
4y−7+2y=3(y−1)−1 answer for y
sammy [17]
The answer to your question is y=1
3 0
3 years ago
Read 2 more answers
I need help with both pictures plz
jeyben [28]

Answer:

-25+12 is less

Step-by-step explanation

1st picture

-25+12=-13

40+-63=-23

2nd picture

Negative

Positive

Negative Negative

To find the answers just simply do the number in a calculator for example -6+64 put that in a calculator and it will help you. figure our number 5

5 0
3 years ago
A railroad crew can lay 5miles of track each day. They need to lay 135 miles of track. The length, l (in miles), that is left to
torisob [31]
What is the function
4 0
3 years ago
Divide. Give the exact answer, written as a decimal.
anygoal [31]

Answer:

11.9440

Step-by-step explanation:

long division

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is 53 and 1/3 as a decimal and please show how to turn it into a decimal
    6·2 answers
  • Which expressions are equivalent to 9x(2+y) ? Select each correct answer. 18x+9xy (9x⋅2)+(9x⋅y) 18x+(9x⋅y) 18xy 11x + y
    12·2 answers
  • What is the answer for <br>5/8 _ 1/4​
    9·1 answer
  • PLEASE HELP, ITS A TEST PLEASE
    10·1 answer
  • The domain !!!!!!!!!!
    15·1 answer
  • Nobhjhrkdjsjsjjdjsdbndndjdnsndbnendjejdjdn. endjdjsnhs
    13·1 answer
  • What is the slope of the line described by y=3x-6
    6·2 answers
  • Find the value of B?
    14·1 answer
  • Plz help its urgent ​
    10·1 answer
  • Find two numbers whose sum is 44 and whose difference is 20 (PLEASE HELP I HAVE 5 MINUTES)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!