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
Varvara68 [4.7K]
3 years ago
9

Sketch a quadratic function with the given characteristics.

Mathematics
1 answer:
xeze [42]3 years ago
7 0

Answer:

See photo below

Add arrows to the two ends of the parabola.

Step-by-step explanation:

To sketch this quadratic function, we to connect three dots: the two roots and a vertex.

The given roots are -1 and 1.

Draw <u>two dots at the x-intercepts</u>, which are (-1, 0) and (1, 0).

Vertex dot: V (x, y)

The vertex x-coordinate always in the middle of the two roots. The middle of -1 and 1 is 0. That's the same as the y-axis.

V (0, y)

Since the function increases when x < 0, the parabola will <u>open up</u>.

We read from left to right. The greater numbers are towards the top of the page.

<u>You can put the vertex anywhere on the y-axis that is below the x-axis.</u>

You might be interested in
X
Sergeu [11.5K]

Answer:

0.33

Step-by-step explanation:

I just took the quiz

3 0
4 years ago
Please help me out with this
Troyanec [42]
38,428 - 21,728= $16,700 left over
7 0
4 years ago
Read 2 more answers
How many quarts are in 1200 fl oz?
Semenov [28]

Answer:

37 1/2

Step-by-step explanation:

hope this helps:)

5 0
3 years ago
Read 2 more answers
The area of the isosceles triangle is 44 square centimeters. Use the Equation 1/2(8h)=44 to find the height of the triangle.
patriot [66]

area of the issoceles triangle = 44 cm²

or, 1/2 (8h) = 44

or, 8h = 2*44

or, h = 88/8

therefore, h = 11cm

8 0
4 years ago
Read 2 more answers
What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve. tions of the equation 9
skelet666 [1.2K]

Answer:

Step-by-step explanation:

Let u^2=x^4\\u = x^2

Subbing in:

9u^2-2u-7=0

a = 9, b = -2, c = -7

The product of a and c is the aboslute value of -63, so a*c = 63.  We need 2 factors of 63 that will add to give us -2.  The factors of 63 are {1, 63}, (3, 21}, {7, 9}.  It looks like the combination of -9 and +7 will work because -9 + 7 = -2.  Plug in accordingly:

9u^2-9u+7u-7=0

Group together in groups of 2:

(9u^2-9u)+(7u-7)=0

Now factor out what's common within each set of parenthesis:

9u(u-1)+7(u-1)=0

We know this combination "works" because the terms inside the parenthesis are identical.  We can now factor those out and what's left goes together in another set of parenthesis:

(u-1)(9u+7)=0

Remember that u=x^2

so we sub back in and continue to factor.  This was originally a fourth degree polynomial; that means we have 4 solutions.

(x^2-1)(9x^2+7)=0

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis.  Factoring (x^2-1) gives us that x = 1 and -1.  The other set is a bit more tricky.  If

9x^2+7=0 then

9x^2=-7 and

x^2=-\frac{7}{9}

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:

x=±\sqrt{-\frac{7}{9} }

which will simplify down to

x=±\frac{\sqrt{7} }{3}i

Those are the 4 solutions to the quartic equation.

5 0
4 years ago
Other questions:
  • Find g(x), where g(x) is the translation 3 units down of f(x)=x^2
    10·1 answer
  • Please help me understand
    15·2 answers
  • Z varies jointly with y and the square of x. If z =128 when y =4 and x=-4, find z when x=2 and y=-5.
    5·1 answer
  • A business owner noted the features of the 100 cars parked at the business. Here are the results:
    13·1 answer
  • If you left $25.00 on your table for a $21.50 meal, what was the percent of the tip?
    13·2 answers
  • Need help with practice test question
    9·1 answer
  • What is v29?
    12·1 answer
  • Quick please no links or anything just the straight up answer answer both please
    14·1 answer
  • Please help asap!!!!
    13·1 answer
  • A tree is 4 m 25 cm high! A pole is 70 cm shorter. How high is the pole? ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!