Find the slope of the line. O -5 O -1 O 1 O None of the above

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

Alexandra [31]

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).

6 0

3 years ago

9 kg of washing powder cost $10.80. What is the cost of 1 kg of washing powder?

Andrei [34K]

Answer:

cost of 1 kg of washing powder is $1.2

Step-by-step explanation:

9 kg = $10.80

cost for 1 kg =

10.80 ÷ 9
$1.2

7 0

1 year ago

Read 2 more answers

A truck rental store charges $50 plus 14 each hour use an algebraic expression to find the cost of the truck rental for 5 hours

Liula [17]

f(x)=14x+50

f(5)=14(5)+50

70+50=120

f(5)=120

4 0

2 years ago

The time in new York is 16.45 (EDT).what is the time in brisbane(AEST)which is 14 hours ahead?

elena-s [515]

Answer: 06.45

Explanation: For this problem, it is essential to know that there are 24 hours in a day. With that said, we take our starting time of 16.45 and since we want to know what time it is 14 ahead (addition), we add the two numbers together.

16.45 + 14 = 30.45

Since there are only 24 hours in a day, and we have exceeded that value, we subtract 24.

30.45 - 24 = 06.45

And that is the time in Brisbane.

Alternatively, you can count time in 12-hour format and convert 16.45 to 4.45 pm by subtracting 12.

Knowing your start time is 4.45pm simply add 14 to that (or change the pm to an and add 2 since 14-12=2).

You will again get 6.45am.

Cheers.

7 0

1 year ago

Read 2 more answers

What is the value of x a 10 b -12 c -10 d-9

liberstina [14]

A /explanation bc I see no reason for the answer to have a - so I believe it’s A sorry if it’s wrong

8 0

2 years ago