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
rewona [7]
3 years ago
5

What is the line of symmetry for the parabola whose equation is y=-x^2-x+2

Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

\huge \boxed{\sf  \ \ x=-\dfrac{1}{2} \ \ }

Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

   y=a(x-b)^2+c

and then, the line of symmetry will be the line x = b

Let's do it !

\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }

So the line of symmetry is

\huge \boxed{\sf  \ \ x=-\dfrac{1}{2} \ \ }

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

You might be interested in
20<br> y<br> -12<br> 14<br> -2 21<br> 8<br> 28<br> What is the y-intercept of the line?
prisoha [69]

Answer:

-2 21

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Eddie Foster packs and seals pens at rate of $0.235 per pack. At the end of his eight-hour
uysha [10]

Answer:

$112.80

Step-by-step explanation:

If he earns $0.235 per pack, and there are 480 packs, then our equation is:

0.235 x 480 = $112.80

5 0
3 years ago
If 5 pizza cost 60$ how much would 15 pizzas cost
igomit [66]
15 pizzas would cost $180.
6 0
3 years ago
Read 2 more answers
Find the radical equivalent of 27^2/3
Leno4ka [110]

Answer:

Step-by-step explanation:

Rewrite this expression as   (27^(1/3) )².  this is equivalent to:

( ∛27 )² or (∛27)(∛27).

If you wish to evaluate this expression, it is ( 3 )( 3 ) = 9.

6 0
3 years ago
Read 2 more answers
Find another way to make<br> to make<br> Move a<br> Way<br> Ways to make 6/10
Step2247 [10]
Hiiiiiiiiiiiiiiiii guys
4 0
3 years ago
Other questions:
  • Y ∝ 1 √ x If y = 5 when x = 49 find, y when x = 25
    15·1 answer
  • #5) HELP WITH QUESTION!!!! MARKING BRAINLIEST!!! :)
    14·1 answer
  • Plz help me do this homework<br><img src="https://tex.z-dn.net/?f=6ac%20-%2015ad%20-%208bc%20%2B%202bd" id="TexFormula1" title="
    11·1 answer
  • The rectangular prism has lateral faces. The rectangular prism has a surface area of square inches.
    6·1 answer
  • Matt is mailing a rectangular package at the post office the box's volume is 24 in.³ what are all of the possible dimensions len
    15·1 answer
  • - The graph of a function is plotted below.
    15·1 answer
  • Find the circumference and area of the circle.
    6·1 answer
  • Which value of p is a solution to p x 1/3=6
    12·1 answer
  • If a translation maps 2D onto 2B, which of the following statements is true?
    6·1 answer
  • PLEASE HELP!!! WILL MARK BRAINLIEST!!! Seth is using the figure shown below to prove the Pythagorean Theorem using triangle simi
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!