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
Olin [163]
3 years ago
9

Determine the axis of symmetry for the function f(x)= -2(x + 3)2 - 5.

Mathematics
2 answers:
ehidna [41]3 years ago
5 0

Answer:-2.125

Step-by-step explanation:

1. simplify the function

-2(x+3)2-5

(-2x-6)2-5

(-4x-12)-5

-4x-17

2. formula for axis of symmetry: -b/2a

a=-4 b=-17

-(-17)/2(-4)=17/-8=-2.125

ivolga24 [154]3 years ago
3 0

Answer:

The axis of symmetry for the function f(x) is x=-3.

Step-by-step explanation:

The vertex form of a quadratic function is

y=a(x-h)^2+k                 .... (1)

Where, (h,k) is vertex and x=h is the axis of symmetry.

The given function is

f(x)=-2(x+3)^2-5           .... (2)

From (1) and (2), we get

a=-2,h=-3,k=-5

The axis of symmetry is

x=h

Substitute h=-3 in the above equation.

x=-3

Therefore the axis of symmetry for the function f(x) is x=-3.

You might be interested in
A scale drawing of a playground is shown below.
kolezko [41]
Hm... I think 440 Square feet..?
7 0
3 years ago
8
Nata [24]

Answer: 15, -8

Step-by-step explanation:

u_2=7\\u_2=u_1+r\\u_3=u_1+2r\\u_4=u_1+3r\\\\u_1+u_2+u_3+u_4=4u_1+6r=12\\u_1+r=7\\\\

\left \{ \begin {array} {ccc|c|c}u_1+r&=&7&-4&-6\\4u_1+6r&=&12&1&1\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}2r&=&-16\\-2u_1&=&-30\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}r&=&-8\\u_1&=&15\\\end {array} \right.\\\\\\Proof:\\u_1=15\\u_2=7\\u_3=-1\\u_4=-9\\sum=12\\

6 0
3 years ago
Please Help I will give out brainliest
gizmo_the_mogwai [7]

Answer:

when y=1 then x=0.5

Step-by-step explanation:

The graph is provided.

The equation y=4x-1 can be graphed by first graphing the -1 which is the y-intercept in the y=mx+b form. 4=m that is our slope. you can find the lines second point by moving 4 up and 1 to the right. rise/run =4/1. So when you move 4 up and 1 right you get another point on the line (1,3).

You can find out x=0.5 when y=1 by just tracing your finger over the graph and the point when y equals 1 the line intercepts x=0.5. Another screenshot is given.

I hope this helps!

8 0
3 years ago
Solve the inequality. Check your solutions.<br> 5t +6&gt;21
Andreas93 [3]

Answer:

t > 3 or (3,∞)

Step-by-step explanation:

7 0
3 years ago
Simplify square root of 306
Umnica [9.8K]

Answer:

the square root of 306 is

17.49

7 0
3 years ago
Other questions:
  • Is relation to t a function? is the inverse of relation t a function?
    13·1 answer
  • Is -14 an integer and a rational number?if not why
    8·1 answer
  • Is this right.need help
    12·1 answer
  • Simplify.<br> (2 - 61) - (-10 + 4i)
    7·1 answer
  • Please help me!!!! $18 to $45 to the nearest percent
    9·1 answer
  • Find the perimeter of the figure.
    7·1 answer
  • Which of the following represents the range of the graph below?​
    7·1 answer
  • WILL GIVE BRAINLIEST!! Priscilla received 240 votes in the election for student council president. That was 60% of the students
    10·2 answers
  • The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = 1/4(x- 8). What
    8·1 answer
  • ****HELP <br><br>I JUST NEED THE M&lt;1 - M&lt;4 JUSTIFICATIONS THEYRE LISTED IN THE IMAGE.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!