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
Nutka1998 [239]
3 years ago
11

The equation of a parabola is y=x^2-10x+27. Write the equation in vertex form

Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

\large \boxed{y = (x - 5)^{2} + 2 }

Step-by-step explanation:

y = x² - 10x + 27

y = ax² + bx + c

This is the general form of the equation for a parabola.

We must convert it to the vertex form

y = (x - h)² + k, where (h,k) are the coordinates of the vertex.

We can do this by completing the square.

\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}The figure below shows that your parabola has its vertex at (5,2).

You might be interested in
Of the students at Milton middle school , 140 are girls. If 50% of the students are girls, how many total students are there at
denpristay [2]

Answer:

280

Step-by-step explanation:

50% is half, so to get the total, multiply 140*2 which is 280.

8 0
3 years ago
Andre and Diego were each trying to solve 2x+6=3x-8 Describe the first step they each make to the equation
avanturin [10]
The first step was the combine the like terms; in this example he is subtracting the 3x on both sides of the =.

If you were to solve the equation it would look like this:

2x+6=3x-8
-3x -3x

-x+6=-8
-6 -6

-x=-14
/-1 /-1

x=14
6 0
3 years ago
Find the measure of each interior angle of a regular polygon with the following number of sides 10​
tresset_1 [31]

Answer:

36 will be the measure.

Hope it helps!!!

Step-by-step explanation:

7 0
3 years ago
2) (-10) + (-7) shoe work
Sladkaya [172]
A negative plus a negative equals a negative so it's just -17
7 0
2 years ago
What is the length of side BC if AC is 5 square root 2 m?
Jet001 [13]
This is a right triangle, so AC is a hypotenuse. The other angles are each 45 degrees, so the legs AB and BC are equal length. a^2 + b^2 = c^2 a = b 2a^2 = (5sqrt2)^2 = 50 a^2 = 25 a = 5 Answer: 5
4 0
3 years ago
Other questions:
  • Write 0.45 as a percentage
    10·2 answers
  • If f || k and k || m, then blank​
    5·1 answer
  • A circle has a radius of 9 ft.
    6·2 answers
  • Mrs. diaz is thinking of buying an annual pass to Disneyland.
    12·2 answers
  • Start with -2 and you end with +7 what is the rule
    5·2 answers
  • The variables y and x have a proportional relationship, and y = 7 when x = 2. What is the value of y when x = 5? Enter your answ
    15·1 answer
  • Which graph represents −9x+4y≤8 (Choice A) (Choice B) (Choice C) (Choice D) <br> khan academy
    12·1 answer
  • Please help me with the answer u am behind a lot of work trying to avoid 0
    11·1 answer
  • What is <br> y=5x+3 -2x-4y=10
    15·1 answer
  • Someone pls help me I will make you as brain
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!