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
Shtirlitz [24]
3 years ago
6

F(x) = x2 + 2x - 2 Show graph

Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

Answer:

Step-by-step explanation:

f(x) = x2 + 2x - 2  should be rewritten using " ^ " to indicate exponentiation:

f(x) = x^2 + 2x - 2.

We find a couple of key points and use the fact that this parabola is symmetric about the line

          -2

x = ----------- = -1.  When x = -1, y = f(-1) = (-1)^2 + 2(-1) - 2, or 1 - 2 -2, or -3.

        2(1)

Thus the vertex is at (-1, -3).  The y-intercept is found by letting x = 0:  y = -2.  The axis of symmetry is x = -1.

Graph x = -1 and then reflect this y-intercept (0, -2) about the line x = -1, obtaining (-2, -2).  If necessary, find 1 or two more points (such as the x-intercepts).

To find the roots (x-intercepts), set f(x) = x^2 + 2x - 2 = 0 and solve for x.

Completing the square, we obtain x^2 + 2x + 1 - 2 = + 1, or (x + 1)^2 = 3.

Taking the square root of both sides yields x + 1 = ±√3.  One of the two roots is x = 1.732 - 1, or 0.732, so one of the two x-intercepts is (0.732, 0).

You might be interested in
What is the first step to finding the sum of 2/7 & 1/4 without a calculator?
Illusion [34]

Answer:

first get a common denominator  by multiplying 7 and 4 to get  28

28 is our common denominator here.

Step-by-step explanation:

We want to add the fractions   2/7 and 1/4

(2/7) * (4/4)   and    (1/4) * (7/7)

(2/7) * (4/4)   +   (1/4) * (7/7) =  8/28  + 7/28 = 15/28

8 0
3 years ago
Nancy leaves the school and drives toward her town at 27 mph. greg leaves the same school 2 hours later and drives the same rout
Paul [167]
Nancy's rate=27 mph
Greg's rate=45 mph
t=Greg's time
t+2=Nancy's time
Since they both traveled same distance then:
27(t+2)=45t
27t+54=45t
18t=54
t=3 hours
Greg will pass Nancy after 3 hours
6 0
3 years ago
3(x-4) = 2(-2x + 1)<br>this is confusing me​
nata0808 [166]

Answer:

x = 2

Step-by-step explanation:

<em>Distribute</em>

3 (−4) = 2 (−2+1)

3 − 12 = 2 (-2x +1)

<em>Distrubute again</em>

3x - 12 = -4x + 2

<em>Add twelve to both sides of the equation</em>

<em>Simpfly</em>

3x = -4x + 14

<em>Add 4x to both sides of the equation</em>

<em>simpfly</em>

7x = 14

<em>Divide both sides of the equation by the same term</em>

<em>Simpfly</em>

x = 2

5 0
3 years ago
What percent of 88 is 154?
lesantik [10]

Answer:

It Is 175% Of 88.

Step-by-step explanation:

154 ÷ 88 = 1.75

To Convert A Decimal Into Percent, You Multiply By 100.

1.75 · 100% = 175%

Therefore, The Answer Is 175%.

5 0
3 years ago
The population of a town is decreasing at a rate of 3.2% per year. In 2015, there were 14,250 people. What is the first year tha
notsponge [240]
The answer is D
you would set up an equation like this
14,250 x .032
this will give you how much the population is decreasing per year. Which is 456 people per year.
You then take 2015 and find the difference between that number and 2025 and do it with all of the other years too.
For example 2025-2015 is 10 years
You then take 10 x 456 to tell you how much the of population you lost in those 10 years. You will then take that number which is 4,560 and do 14,250-4,560 to get 9,650.
4 0
2 years ago
Other questions:
  • 7.1 + 16.04 – .2 = ?
    5·2 answers
  • Help i'm confused.....
    6·1 answer
  • URGENT!! A 16 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the thi
    15·2 answers
  • If the point A (6,9) is translated 4 units left, then find the new coordinates of the point A.
    14·1 answer
  • What is the slope of (-3,4) and (5,8)
    5·1 answer
  • If ƒ(x) = x − 4 and g(x) = 3x + 5, find (ƒ + g)(x).
    12·2 answers
  • I kinda forgot how to do this so I need big time help.
    10·2 answers
  • 10. A wire is of length 264 cm. It is bent into a circle. What is the radius of the circle so obtained. If it
    7·1 answer
  • What is the range of the function y= 2e7-1?
    9·2 answers
  • how many tickets must be purchased in order for the total cost at carnival M and carnival P to be the same?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!