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
Zigmanuir [339]
3 years ago
6

Graph the function g(x) =x^2+4x+1

Mathematics
1 answer:
gladu [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Let's "complete the square," which will give us the vertex of this vertical, opens-up parabola:

g(x) =x^2+4x+1 can be rewritten as g(x) =x^2+4x + 4 - 4 +1, where that +4 comes from squaring half of the coefficient of x.

Then we have   g(x) =x^2+4x + 4 - 4 + 1  =>  g(x) = (x + 2)^2 - 3.

Comparing this to                                             y   = (x - h)^2 + k,

we see that the vertex, (h, k), is located at (-2, -3).

Plot this vertex.  Also, plot the y-intercept (0, g(0) ), which is (0, 1).

This information is enough to permit graphing the function roughly.

You might be interested in
What is the volume?<br> V=
podryga [215]
Volume is lenght x width x hieght. ex: 12x3x17
4 0
4 years ago
PLS HELP ME ITS DUE AT 12 AM I WILL GIVE THAT BRAINLY THING
Eduardwww [97]

9514 1404 393

Answer:

  1. HA is equivalent to AAS when the triangle is a right triangle.

  2. AM = BM, so the triangles are congruent by HL. CPCTC

  3. The triangles are congruent by HL. CPCTC

Step-by-step explanation:

1. The acute angle of the triangle together with the right angle comprise two angles of the triangle. When two corresponding angles and a corresponding side (the side opposite the right angle) are congruent, the right triangles are congruent by the AAS theorem. (This can be referred to as the HA theorem.)

__

2. CM = DM; MA = MB; ∠A = ∠C = 90°, so all of the requirements for the HL theorem are met. ΔCMA ≅ ΔDMB, so AC ≅ BD by CPCTC.

__

3. TS = TV, TR = TR, ∠S = ∠V = 90°, so all requirements for the HL theorem are met. ΔTSR ≅ ΔTVR, so RS ≅ RV by CPCTC.

4 0
3 years ago
Roger drives 256km and uses 20l of fuel. what is his average fuel consumption for 100km?
Bezzdna [24]

Answer:

7. 8125 l

Step-by-step explanation:

256 km ....... 20l

100 km ...........x l

x = 100×20/256

= 7. 8125 l

3 0
4 years ago
80 is 5% of what number?​
nikklg [1K]

Answer:

1600

Step-by-step explanation:

1600 x 0.05 = 80

or

80 / .05 = 1600

3 0
3 years ago
Read 2 more answers
How do I find the slope of a line that passes through?​
Natali [406]

Answer:

the slope is m = 0.4

Step-by-step explanation:

use symbolab I use it all the time it gives correct answer and is gives good explanations (this isn't a sponser I've just been using it since the 6th grade lol)

5 0
3 years ago
Other questions:
  • the sides of a square field are 12 meters. A sprinkler in the center of the field sprays a circular area with a diameter that co
    14·1 answer
  • How to solve algebra questions
    7·1 answer
  • H(x)=-4+16 find x when h(x)=48 Plz don't say it is incomplete
    8·1 answer
  • Help please ............
    6·1 answer
  • The length r of a rope should be at least 5 inches how would you write that as an inequality​
    13·1 answer
  • PLEASE HELP I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS GOOD PLEASE
    9·2 answers
  • I need help on this!! please help
    9·2 answers
  • (i) Factorise the expression x^3 + 3x - x^2 - 3 completely.
    10·1 answer
  • Questions 19 - 23. 23 is cut off a part so the second page is the rest of it.
    7·2 answers
  • Please fast brainly I give brainliest
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!