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
aniked [119]
1 year ago
5

What is the vertex of the graph of y = x^2+ 4x?

Mathematics
1 answer:
xxTIMURxx [149]1 year ago
6 0

Answer:

(-2, -4)

Step-by-step explanation:

You can complete the square of the equation to get

y+(4/2)^2 = x^2+4x+(4/2)^2

y+4 = x^2 + 4x + 4

y+4 = (x+2)^2

y = (x+2)^2 - 4

This gives the form y = a(x-h)^2 + k where (h, k) is the vertex of the equation. You can also arrive at the same conclusion by making some observations of the equation. (x+2)^2 minimum value is going to be 0 since and negative values resulting from x+2 is going to become positive because of the square. So the minimum value is when x+2 is 0 or when x is equal to -2 and when it's at that minimum value of 0 it's going to have 4 subtracted from it which gives the vertex of (-2, -4)

You might be interested in
In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does
Tresset [83]
This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"

The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)

This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!

In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
6 0
2 years ago
4y-9=15 how do I solve this
Makovka662 [10]
<span>4y-9=15
Add 9 to both sides.

4y = 24
Divide both sides by 4.

y = 6

The value of y is 6.</span>
4 0
2 years ago
Read 2 more answers
Write a function file to evaluate the function g(x)x, even if x is a vector of numbers. Use the name g for this function so that
stiks02 [169]

Answer:

hiiiiii

berryryry.commxx

4 0
2 years ago
for the Black Panther trip 420 students were scheduled to go. After selecting more parents surveys 15% more students are going o
Marianna [84]

Answer: $10988.25

Step-by-step explanation:

From the question, we are told that for the Black Panther trip 420 students were scheduled to go and 15% more students were selected. This means that the total number of students that are going will be:

= 420 + (15% × 420)

= 420 + (0.15 × 420)

= 420 + 63

= 483 students

Since each administration ticket cost 22.75 dollars. The total amount paid for all tickets purchased will be:

= 483 × $22.75

= $10988.25

3 0
3 years ago
A Box is 16 inches tall, 10 inches wide and 10 inches long how many small boxes can fit inside
Andreas93 [3]

Answer:

LLLLLLLLLLLLLLL

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Jay had to paint part of the outside of his house he spent 7 hours painting one side and 12 hours painting another how long did
    8·1 answer
  • I NEED MAJOR HELP PLEASE&lt; I WILL LITERALLY GIVE ALL MY POINTS AWAY TONIGHT!! MULTIPLE QUESTIONS/MULTIPLE SUBJECTS
    9·1 answer
  • if y is 12 times x, which equation shows the relationship between x and y? y = 12x x = 12y x = 12 y y = 12 x
    5·2 answers
  • A ball is thrown downward with an initial velocity of 35 meters per second from a
    13·1 answer
  • If x-12sqrt + 36=0 What is the value of X
    15·1 answer
  • I need help. Please answer if u do know
    6·1 answer
  • Translate the statement into an algebraic expression or equation.
    15·1 answer
  • Write the equation in slope-
    15·1 answer
  • Can anybody measure this as an SSS, SAS, and ASA angles?
    13·2 answers
  • Division 542 dividido 2 y resta
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!