Which equation best represents the graph shown below?

Mathematics

2 answers:

Korolek [52]2 years ago

7 0

Answer:

f(x) = x^2 - 2

Step-by-step explanation:

This looks like a parabola with the vertex at (0, -2)

It also goes through points (1, -1) and (-1, -1)

The equation: f(x) = a (x - h)^2 + k

f(x) = a x^2 - 2

we see f(1) = -1 = a (1)^2 - 2 ,

-1 = a - 2, a = 1

so f(x) = x^2 - 2

Anton [14]2 years ago

5 0

Answer:

x to the power of 2 equals 3

Step-by-step explanation:

because

You might be interested in

Create an equivalent expression that includes a set of parentheses that make the value of the expression 5. Remember, you can ha

Naily [24]

Answer: the Answer is 33

8 0

2 years ago

Given that sinФ = 8/17 and cos Ф < 0:

Gekata [30.6K]

Answer:

1) The terminal side lies in quadrant 2

2) cosФ = -15/17

3) tanФ = -8/15

Step-by-step explanation:

1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1

2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17

3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15

6 0

2 years ago

To hang lights up on his house.Garrett place is a 14 foot ladder 4 feet from the base of the house. How high up the house will t

Mariulka [41]

This seems like a right triangle problem.

So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem ( $a^{2} +b^{2} =c^{2}$ ) to solve for the height of the house, in which we shall name it x.