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
givi [52]
3 years ago
12

What is the vertex of the graph of the function f(x) = x2 − 4x?

Mathematics
2 answers:
Vsevolod [243]3 years ago
6 0

Answer:

(2, -4).

Step-by-step explanation:

x^2 - 4x

= (x - 2)^2 - 4.

So the vertex is at

(2, -4).

ExtremeBDS [4]3 years ago
6 0

Answer:

(2,-4)

Step-by-step explanation:

x²-4x

First, we need to complete the square of this quadratic.

1) Half the coefficient of x and subtract it (depends on the sign) from x. Then, square the whole expression.

(x-2)²

2) If this was to be expanded as a double bracket, we would acquire:

x²-4x+4

In order to achieve the form above, we need to subtract 4. This can be found quickly by subtracting the square of the integer from the bracket. (Ignore the sign when squaring here.)

(x-2)²<u>-4</u>           ------>This is in the completing the square from.

From this, the vertex is determined by using the opposite sign of the number in the bracket for the x coordinate and the outside number is kept constant for the y. Note that, in graph transformations, the number inside the brackets is the "opposite of what you expect"; the same logic is applied here.

Therefore, the vertex is (2,<u>-4</u>)

You might be interested in
Is parallelogram ABCD a rectangle?
Fantom [35]

Answer:

No

Step-by-step explanation:

Sides AB to DC aren't congruent/parallel

Sides BC to AD aren't congruent/parallel

6 0
3 years ago
Complete the inequality. 9% ___ 0.4
Alex73 [517]
9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!
3 0
3 years ago
Find the equation of the line that goes through the points (3,8) and (9,16).
Aneli [31]

Answer:

4x-3y+12=0 is required eqn

Step-by-step explanation:

Let, 3,8 be x1,y1

9,16 be x2,y2

Now,

Eqn of st.line is y-y1 = y2-y2/x2-x1 * (x-x1)

y-8 = 16-8/9-3 * (x-3)

y-8 = 4/3*(x-3)

3y-24 = 4x-12

4x-3y+12=0 is required eqn

3 0
3 years ago
Please help!! I don’t understand this. P.S. I had to do this on a separate piece of paper, so that’s why I have it on my noteboo
Temka [501]
I don’t get what your saying

Explain it for me
Step by step
3 0
3 years ago
How did the corana virus start​
S_A_V [24]

Answer:

THE CHINESE PEOPLE DIDNT EAT A BAT!

Step-by-step explanation:

THE VIRUS CAME ORIGINALLY FROM A LAB IN CHINA! THEY MADE IT AND DIDNT TELL THE USA ABOUT IT. WHEN CHINESE PEOPLE WERE TRAVELING TO THE USA IT SPREADED! WATCH THE NEWS AND GET YOUR FACTS STRAIGHTEN!

6 0
3 years ago
Other questions:
  • Whose y-intercept is (0,6) and slope is 3?
    9·1 answer
  • Can someone please help
    11·1 answer
  • Find the area of a circle with a circumference of 12.56 units
    10·2 answers
  • 1x10+3×1+4×(1over1000)​
    14·1 answer
  • Which of the following demonstrates how the 20 is calculated using the
    10·1 answer
  • here are the score that Jenna has received on her seven quizzes 16 13 20 16 12 17 18 what is the mean
    14·1 answer
  • Consider this linear system:
    9·2 answers
  • graph example of system consistent and equation; that has one solution. kindly help me with this please I need it in 1 minute. p
    14·1 answer
  • What is 2+6 100 points the answer is 8 right?
    8·2 answers
  • Solve the system of equations.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!