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
Ksju [112]
3 years ago
12

I am sketching parabolas and my book is telling me that I need only two points. But I don't know how I am meant to sketch the pa

rabola accurately with only two points. Are parabolas just supposed to be drawn roughly or do we have to find all the points and then sketch it?
Mathematics
1 answer:
Sever21 [200]3 years ago
7 0

Answer:

In order to sketch a parabola, one will typically use the y-intercept, the x-intercepts, and the vertex.

Step-by-step explanation:

In order to sketch a parabola, one will typically use the given equation in standard form, y = ax^2 + bx + c, and:

  • The y-intercept – the point where the parabola crosses the vertical axis – by substituting 0 for all <em>x</em> values in the given equation and solving for <em>y</em>.
  • The x-intercepts – the points where the parabola crosses the horizontal axis – by setting the given equation equal to 0 (i.e., <em>y</em> = 0) and finding the factors (or roots).
  • The vertex – the point of symmetry where the parabola changes direction and curves up or down – by using x=\frac{-b}{2a} to find the x-coordinate then plugging that value into the given equation to find the y-coordinate.
You might be interested in
Solve for x {x+4]= 6
wlad13 [49]

The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}

We have an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}

After calculating:

\rm x = \dfrac{-4 \pm\sqrt{40}}{2}

\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

6 0
2 years ago
Read 2 more answers
Two less than 2 times a number is the same as the number plus 64. What is the number?
sineoko [7]

What is 3 times the number?

3*66 = 198

4 0
2 years ago
Read 2 more answers
A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Whi
LenKa [72]

Answer:

d

Step-by-step explanation:

I already did this before

4 0
2 years ago
Does someone know the answer to 3/12=2/?
Elina [12.6K]

Answer:

2/8

Step-by-step explanation:

since 3/12 = 1/4, you have to find a fraction that equals 1/4 that has 2 as the numerator.

that would be 2/8 since 1/4=2/8.

6 0
2 years ago
4
Natali [406]

The ratio of the area of ∆ABC to the area of ∆DEF is; 1:100.

<h3>What is the ratio of the area of ∆ABC to the area of ∆DEF?</h3>

Since, a major criterion for similarity and congruence of triangles is that the ratio of corresponding sides are equal.

On this note, since the task content suggest that the ratio of the perimeters is; 1:10, it follows from conventional mathematics that the ratio of their areas is given as; 1²:10²; 1:100.

Read more on congruent triangles;

brainly.com/question/9217675

#SPJ1

8 0
1 year ago
Other questions:
  • Mildred has a drink cooler that holds 10 gallons of water and he is showing the cooler with 1 quart container how many times wil
    10·1 answer
  • 45%, 15%, 40%, 80%, 65%, 30%, 90%, 25% Do any of these percentages match the fraction 2/5?
    14·2 answers
  • Yana is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below: A trian
    5·2 answers
  • Why is pie considered an irrational number A. it is a non-repeating decimal B. the decimal never terminates C. both A and B D. n
    13·2 answers
  • Solve the system of equations using a matrix <br> X+3y=5<br> X+4y=6
    6·1 answer
  • Jennifer says that yuoucan also write (12 - 3) × 2 for the phrase in the example. is Jennifer correct. Explain why or why not.
    11·1 answer
  • ОО
    13·1 answer
  • Solve the math problem.<br> I forgot how to do this, it was from the beginning of the semester.
    6·2 answers
  • (1 out of 5 parts) please help &gt;3
    10·1 answer
  • Toy It Examine the worked problem and solve the equation. 4 4 1 (x) 1 = 9 3 3 1 1 + 3 3 4 3 :9+ 3 3 28 The solution is x=
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!