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
statuscvo [17]
3 years ago
7

Find the axis of symmetry and the vertex and graph the following: f(x)=(x+2)(x-4)

Mathematics
1 answer:
algol [13]3 years ago
8 0

something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.

\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}

so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.

since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.

You might be interested in
1 point) Use Stoke's Theorem to evaluate ∫CF⋅dr∫CF⋅dr where F(x,y,z)=xi+yj+1(x2+y2)kF(x,y,z)=xi+yj+1(x2+y2)k and CC is the bound
Drupady [299]

Answer:

0

Step-by-step explanation:

Thinking process:

\int\limits^a_b {cF} \, .dr

= \int\limits^a_b {x} \, dx \int\limits^a_b {x} \, dx curlFdS by Stoke's Theorem

= \int\limits^a_b {} \,  \int\limits^a_b {} \, < 12y, -12x, 0 > .< z_x,-z_y, 1 > dA\\= \int\limits^a_b {} \, \int\limits^a_b {} \, < 12y, -12x, 0 > .< 2x, 2y, 1 > dA since z = 25-x^{2} -y^{2} \\= 0

3 0
3 years ago
Write a number to make the sentence true. 5+4=10_
3241004551 [841]
5+4 = 10 - 1

the missing number is 1
6 0
3 years ago
Read 2 more answers
There are 12 triangles and 3 squares. What is the simplest ratio of<br> squares to triangles?
grigory [225]
Squares : Triangles
3 : 12
Divide both sides by 3.
The simplest ratio is

1 : 4
4 0
3 years ago
Read 2 more answers
Draw 2 shapes with a perimeter of 16 and an area of 12. Plz help!!!
torisob [31]
A square with sides of 4 for perimeter and area of a rectangle with length 2 width 6<span />
3 0
3 years ago
Read 2 more answers
Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performe
uranmaximum [27]

Answer:

Step-by-step explanation:

2915 can stay as it is; 15.458 should be rounded down to 15.  Then we have

2915-15, or 2900 (which is a very reasonable estimate).

3 0
3 years ago
Other questions:
  • Which of the following is equal C(10,3)?<br><br> a. C(3,10)<br><br> b. C(10,7)<br><br> c. P(10,3)
    11·2 answers
  • PLEASE HELP ASAP WORTH 30 POINTS Between which two whole numbers is ⎯⎯⎯⎯√square root of 12 ?
    9·1 answer
  • Molly purchased 7 apples for $3.96. while looking at her receipt, Molly divided three $3.96 by 7. why might Molly perform this c
    7·1 answer
  • the floor of storage units is 24 feet long and 7 feet wide. what is the distance between two opposite corners of the floor?
    9·1 answer
  • Jessica is a custodian at Oracle arena. She waxes 20 mi squared of the floor 3/5 of an hour. Jessica waxes the floor at a consta
    5·1 answer
  • 8 times 10^5 + 5 times 10^4 = ? In scientific notation
    9·1 answer
  • Please help!!!!!!!!!!!!!!!
    15·1 answer
  • Write a even number between 3 and 12. Draw a picture and then write a sentence to explain why it is an even number
    14·2 answers
  • Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.
    7·2 answers
  • Joe opened a bank account with $80. He then withdrew $35 and deposited $115. What is his account balance after these transaction
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!