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
olga_2 [115]
3 years ago
15

Graph f(x)= -(x-2)²+4

">

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0

Answer: See the graph attached.

Step-by-step explanation:

The standard form of a quadratic function is:

f(x)=a(x-h)+k

Where (h,k) is the vertex of the parabola.

If a is negative, then the parabola opens down.

Then, for the function:

f(x)=-(x-2)^2+4

You can identify:

h=2\\k=4

Then the  vertex of the parabola is at (2,4)

Note that a=-1, therefore the parabola opens down.

Find the intersection with the x-axis. Substitute f(x)=0 and solve for x:

0=-(x-2)^2+4\\0=x^2-4x\\0=x(x-4)\\\\x_1=0\\x_2=4

Knowing that the vertex is at (2,4), the parabola opens down and it intersects the x-axis at x=0 and x=4, you can graph the function, as you observe in the figure attached.

You might be interested in
I need help with this question
Dimas [21]

Answer:

Step-by-step explanation:

10+18+25+27+35+50=165

n=6

mean =165/6=27.5

x   x- mean    (x-mean)²

10     -17.5          306.25

18      -9.5            90.25

25     -2.5              6.25

27     -0.5              0.25

35      7.5            56.25

50   22.5          506.25

      _____      ________

sum     0             965.5

       _____     _________

standard deviation

=\sqrt{\frac{sum}{n-1} } \\=\sqrt{\frac{965.5}{5} } \\=\sqrt{193.1} \\\approx 13.896

4 0
2 years ago
Show that cos3(B)+cos(B)sin2(B) = 1 sin(B)cos2(B)+sin3(B) tan(B)
Pachacha [2.7K]

Answer:

-90

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
HELPPPLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
MAXImum [283]
C May be the answer sorry if it is wrong.
5 0
2 years ago
Read 2 more answers
Two spinners are shown. Look at the spinners as you respond to the statements below.
spayn [35]
Answer:
A. false
B. true
C. true
D. false
step-by-step:
A: probability of spinning a 4 on spinner A is 1/4 and probability of spinning a 4 on spinner B is 1/3.
B: there are 2 fours out of 6 possible options so that makes it 2/6, simplify that, it becomes 1/3.
C: 2 and 4 are even numbers so that makes 2/4 possible on spinner A. simplify 2/4 and that becomes 1/2.
D. spinning a 3 on spinner A would make it 1/4 (already simplified). spinning a 3 on spinner B would make it 1/6 (already simplified) therefore spinner A is greater.
7 0
3 years ago
Read 2 more answers
X^3+4x^2-9x-36<br> whats the answer
IceJOKER [234]

Answer:

x= -4, -3, 3

Step-by-step explanation:

You must factor this equation.

Once you factor, you get (x+4)(x-3)(x+3)

Set this equal to 0 and solve.

You get -4,-3, and 3.

6 0
3 years ago
Other questions:
  • If quadrilateral ABCD rotates 90° counterclockwise about the origin, what are the coordinates of A′ in quadrilateral A′B′C′D′ ?
    5·1 answer
  • Name the translation that slides
    8·1 answer
  • A part of your bike has broken. You decide to send it back for a full refund. It has cracked along every line of symmetry.
    11·1 answer
  • The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbul
    8·1 answer
  • Which equation represents the relationship between the x -values any the y -values in the table?
    11·1 answer
  • PLS PLS PLS HELP MEEEEEEEEEEEEEE
    12·1 answer
  • Help fast asap plz.................
    5·1 answer
  • Brian completed a 100 meter race in 11.74 seconds.Luis completed the race in 11.69 seconds.What was the difference between their
    6·1 answer
  • 3 1/4 minus 1 7/8 equals
    12·2 answers
  • Solve for z<br> answer correctly
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!