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
For ΔABC, ∠A = 3x, ∠B = 2x - 3, and ∠C = x + 3. If ΔABC undergoes a dilation by a scale factor of 2 to create ΔA'B'C' with ∠A' =
Mashutka [201]
I am not 100% sure but I think the answer is C I hope I helped you and Good luck
3 0
3 years ago
Read 2 more answers
Please solve the problem below. Which is the correct answer?
Ivanshal [37]
I’m guessing A? Sorry if it’s wrong!
7 0
3 years ago
The common ratio of a geometric series is 3 and the sum of the first 8 terms is 3280.
Pavlova-9 [17]

Answer:

The first term of the geometric series is 1

Step-by-step explanation:

In this question, we are tasked with calculating the first term of a geometric series, given the common ratio, and the sum of the first 8 terms.

Mathematically, the sum of terms in a geometric series can be calculated as;

S = a(r^n-1)/( r-1)

where a is the first term that we are looking for

r is the common ratio which is 3 according to the question

n is the number of terms which is 8

S is the sum of the number of terms which is 3280 according to the question

Plugging these values, we have

3280 = a(3^8 -1)/(3-1)

3280 = a( 6561-1)/2

3280 = a(6560)/2

3280 = 3280a

a = 3280/3280

a = 1

6 0
3 years ago
The equation shows the relationship between x and y:
Alex_Xolod [135]
This is in slope-intercept form which is y=mx+b
where m is the slope and b is the intercept
in this equation -7 is m
The correct answer is -7
5 0
3 years ago
(pages 2-7)
user100 [1]

Answer:

The answer is here

Step-by-step explanation:

https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/gtp--praxis-math--lessons--geometry/a/gtp--praxis-math--article--congruence-and-similarity--lesson

7 0
3 years ago
Other questions:
  • If you know the distance (d) an object has moved from a reference point and the time (t) it took to move that distance, you can
    6·1 answer
  • John has six bills of paper money in the following denominations $1, $5, $10, $20, $50, and $100. If he selects 3 bills at a tim
    14·1 answer
  • Will give brainliest <br><br><br> Determine the following values!!!!!
    9·1 answer
  • Write an inequality to model the situation.<br> The temperature must be kept below 32 degrees.
    8·1 answer
  • Need a little help. bananas a ssn as ssbs s s s sbs ssb ssb sbs ssb ssb sbs ssb​
    11·2 answers
  • Solve. Chanasia has 6.25 gallons of paint. She wants to use 2/5 of the paint to paint her living room. How many gallons of paint
    13·1 answer
  • 10y−50=−20 <br><br> i need help with this math question plsss
    12·1 answer
  • Anyone knows the slope of this graph?
    7·1 answer
  • Which of the following statements concerning the linear correlation coefficient are true?
    6·2 answers
  • John held a garage sale. He priced all the items at a dime or a quarter. His sales totaled
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!