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
sashaice [31]
3 years ago
9

Identify the axis of symmetry and vertex of f(x) = –2x2 –2x–1.

Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0

Answer:

A. The vertex is at (-0.5, -0.5) and the axis of symmetry is x = -0.5.

Step-by-step explanation:

–2x2 –2x–1

Convert to vertex form:

= -2(x^2 + x) - 1

= -2 [ (x + 0.5x)^2- 0.25] - 1

= -2(x + 0.5)^2 + 0.5 - 1

= -2(x + 0.5)^2 - 0.5.

Compare this with the general vertex form:

a(x - b)^2 + c  where the vertex is at (b, c) and the axis of symmetry is

x = b

we see that b = -0.5 and c = -0.5 therefore

the vertex is at (-0.5, -0.5) and the axis of symmetry is x = -0.5.

Marta_Voda [28]3 years ago
4 0

Answer:

The first option

Step-by-step explanation:

Given a quadratic function in standard form : ax² + bx + c : a ≠ 0, then

The equation of the axis of symmetry which is also the x- coordinate of the vertex is found using

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

f(x) = - 2x² - 2x - 1 ← is in standard form

with a = - 2, b = - 2, so

x = - \frac{-2}{-4} = - 0.5

Equation of axis of symmetry is x = - 0.5

Substitute x = - 0.5 into f(x)

f(- 0.5) = - 2(- 0.5)² - 2(- 0.5) - 1 = - 0.5 + 1 - 1 = - 0.5

Vertex = (- 0.5, - 0.5 )

You might be interested in
Drag each capacity to match it to an equivalent capacity.
weqwewe [10]

Answer:

  • 2 cups         ⇔ 16 fluid ounces
  • 96 ounces   ⇔ 6 pints
  • 12 pints        ⇔ 24 cups
  • 4 quarts       ⇔ 1 gallon

<em>Also see attached</em>

3 0
2 years ago
Read 2 more answers
Which table represents a linear function?<br>​
Arada [10]

Answer:

D

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The two pictures are the questions and question five is what i need help with.
Mama L [17]

Answer:yes they do

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A biologist is researching the population density of antelopes near a watering hole. The biologist counts 32 antelopes within a
Setler [38]

Answer:

=0.3 per km²

Step-by-step explanation:

Population density is the population per uni area.

Area=πr² Where A is area and r is the radius of the circle.

A=3.14×34

=106.76km²

Population density = Population/Area

=32 antelopes/106.76 km²

=0.3 per km²

The population of antelopes within the given radius is 0.3 per km²

7 0
2 years ago
Darrin lives in Washington, D.C., which has a sales tax of 6%. He just bought a video camera whose full price was $620, but afte
marshall27 [118]
562.20 So the answer is A.
7 0
3 years ago
Read 2 more answers
Other questions:
  • A hyena can run 1/4 of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in mi
    5·1 answer
  • Aramis is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satelli
    13·2 answers
  • Regroup to express the number in a different way.
    14·1 answer
  • Please help me solve for x
    12·1 answer
  • Randomly split the messages into a training set D1 (80% of messages) and a testing set D2 (20% of messages). Calculate the testi
    7·1 answer
  • Determine x when y=144?
    13·1 answer
  • If Chang jogs one lap around the inside track, how far does he jog​
    14·2 answers
  • Pls help asap, ill give brainiest
    9·1 answer
  • How to solve quadratic equation with brackets<br>​
    5·2 answers
  • I need a little help with this..
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!