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
emmasim [6.3K]
4 years ago
8

Which equation has a graph that is a parabola with a vertex at (-2,0)

Mathematics
2 answers:
alexgriva [62]4 years ago
6 0

Answer:

The required equation of the parabola :  y = x² + 4 + 4x

Step-by-step explanation:

The vertex of the parabola is given to be : (-2 , 0)

The equation of a parabola with a vertex at (h , k) is : f(x) = a(x - h)² + k , where a is a constant not equal to zero.

Now, Vertex : ( h , k) = (-2 , 0)

So, h = -2 and k = 0

⇒ f(x) = a(x + 2)² + 0

⇒ y = a(x + 2)²

Take a = 1

⇒ y = x² + 4 + 4x

This is the required equation of the parabola.

morpeh [17]4 years ago
3 0
The equation of a parabola with a vertex at (h,k) is
f(x)=a(x-h)+k
where a is a constant not equal to zero.
So for (h,k)=(-2,0), the general equation is
y=f(x)=a(x--2)^2+0,

y=a(x+2)^2, or
If a=1 and expand, 
y=x^2+4x+4
You might be interested in
write an equation of a line in slope intercept form that passes through the point (-4,1) and has a slope of -3
RSB [31]

Answer:

y+3x+11=0

Step-by-step explanation:

m=-3, x1=-4, y1=1

from m=y-y1/x-x1

-3=y-1/x-(-4)

-3(x+4)=y-1

-3x-12+1=y

y=-3x-11

y+3x+11=0

6 0
4 years ago
Find the greatest common factor of 66a3b3 and 99a4.
yan [13]
66a^3b^3=\boxed{33a^3}\cdot2b^3\\\\99a^4=\boxed{33a^3}\cdot 3a\\\\GCF(66a^3b^3;\ 99a^4)=\boxed{33a^3}
4 0
3 years ago
Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40
KATRIN_1 [288]

Answer:

She would have scored 75 points.

Step-by-step explanation:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

40x = 50*60

Dividing both sides by 40

x = 50*1.5 = 75

She would have scored 75 points.

6 0
3 years ago
How can you tell that −10 and −20 are solutions to this inequality, but 10 is not? 3n − 40 < −5n + 8
pochemuha

Step-by-step explanation:

-10 or -20 satisfies the equation.

But when you substitute 10 in:

30-40<-50+8

-10<-42(wrong)

it's wrong

6 0
3 years ago
The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requir
Tomtit [17]
Point, line, and plane are the undefined expression that relinquish the starting location for geometry. When we define words, we ordinarily use simpler words, and these simpler words are in turn defined using yet simpler words. This procedure must eventually abort; at some stage, the definition must use a word whose meaning is accepted as intuitively clear. Because that meaning is accepted without definition, we refer to these words as undefined terms. These terms will be used in defining other terms. Although these expressions are not formally defined, a brief intuitive dialogue is needed.   A point is the most fundamental object in geometry. It is represented by a dot and named by a capital letter. A point constitute position only.   A line (straight line) can be thought of as a connected set of infinitely many points. It extends infinitely far in two opposite directions. A line has boundless length, zero width, and zero height. Any two points on the line name it. The symbol ↔ written on top of two letters is used to denote that line.   <span>A plane may be contemplating as an infinite set of points creating a connected flat surface extending infinitely far in all directions. It is usually represented in drawings by a four‐sided figure. A single capital letter is used to designate a plane.</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • Help with question 17 please
    8·1 answer
  • Lily estimated a quotient of 120 and found an actual quotient of 83 what should she do next
    12·1 answer
  • The news reported that inflation will rise
    15·1 answer
  • A tire has a diameter of 22". How far will the tire travel in 3 rotations?
    11·2 answers
  • (1, 1/2, 1/3, 1/4, ...)
    5·1 answer
  • Solve using substitution.<br> y = -4x + 5<br> y = x + 10
    8·2 answers
  • Uma escola tem 25 professores Dos quais 24% Ensinam matemática. quantos professores ensino matemática nessa escola ?
    12·1 answer
  • Mrs. Thomas called an electrician to come to her home to fix some wires. The electrician charged $40 to go to Mrs. Thomas' house
    8·1 answer
  • (07.01)How many solutions can be found for the equation x +5=x?
    11·2 answers
  • Which problem can be solved using the equation 9x + 14 = 100
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!