Help!! Please thank you

Mathematics

1 answer:

Alchen [17]3 years ago

3 0

Ok so we need to set the bottom to 0 to find the vertical asympyotes. This becomes x^2 - 4 = 0. Since we're talking about asymptotes, i'll assume you can solve basic equations. Solving for x and you get x = ±2. This means the vertical asymptotes are at ±2. To solve for horizontal asymptotes you take the limit as x goes to ±∞. Either way you end up with ±∞/∞. Now this isn't 1 because they grow at different rates. You differentiate both the top and bottom(L'hopital) and you get 6x/2x which becomes 3. This means the horizontal asymptote is at y = 3.

You might be interested in

Can anyone help me with this please :( . This is due in a 1hr .

nlexa [21]

Answer:

Check below

Step-by-step explanation:

So 1 the relationship between the height of the tree and the time since it was planted is a set of unconnected points, since the tree eventually stops growing, it's not continuous.

2. The relationship is between the number of 12 dollar dvds and the total cost is a solid line, because you can buy an infinite amount of dvds so it's continuous.

3. The relationship between the height of a small child and the age of a small child recorded in months is a set of unconnected points. It's over the course of months, and he will eventually stop growing, so it's not continuos.

3 0

3 years ago

Given the vertex of a quadratic function, find the axis of symmetry.

motikmotik

(i) The equation of the axis of symmetry is x = - 5.

(ii) The coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) According to the vertex form of the quadratic equation, the parabola opens down due to negative lead coefficient and has a vertex at (2, 4), which is a maximum.

<h3>How to analyze and interpret quadratic functions</h3>

In this question we must find and infer characteristics from three cases of quadratic equations. (i) In this case we must find a formula of a axis of symmetry based on information about the vertex of the parabola. Such axis passes through the vertex. Hence, the equation of the axis of symmetry is x = - 5.

(ii) We need to transform the quadratic equation into its vertex form to determine the coordinates of the vertex by algebraic handling:

y = x² - 8 · x - 2

y + 18 = x² - 8 · x + 16

y + 18 = (x - 4)²

In a nutshell, the coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) Now here we must apply a procedure similar to what was in used in part (ii):

y = - 2 · (x² - 4 · x + 2)

y - 4 = - 2 · (x² - 4 · x + 2) - 4

y - 4 = - 2 · (x² - 4 · x + 4)

y - 4 = - 2 · (x - 2)²

According to the vertex form of the quadratic equation, the parabola opens down due to negative lead coefficient and has a vertex at (2, 4), which is a maximum.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

5 0

1 year ago

What is the answer to this question.. What is 30% of 50?

shepuryov [24]

Look at the attached picture

Hope it will help you..