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2 years ago

What can you say about the end behavior of the function f(x)=log2(4x+8)+16

2 answers:

7 0

One end increases and one end decreases because log2=0.3 and if you multiply that by the leading coefficient, 4, you will get 1.2. Because the new leading coefficient, 1.2, is positive, one end goes up and another end goes down.

Gennadij [26K]2 years ago

3 0

Answer:

One end increases and one end decreases

Step-by-step explanation:

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Consider the following quadratic function Part 3 of 6: Find the x-intercepts. Express it in ordered pairs.Part 4 of 6: Find the

maksim [4K]

Answer:

The line of symmetry is x = -3

Explanation:

Given a quadratic function, we know that the graph is a parabola. The general form of a parabola is:

$y=ax^2+bx+c$

The line of symmetry coincides with the x-axis of the vertex. To find the x-coordinate of the vertex, we can use the formula:

$x_v=-\frac{b}{2a}$

In this problem, we have:

$y=-x^2-6x-13$

Then:

a = -1

b = -6

We write now:

$x_v=-\frac{-6}{2(-1)}=-\frac{-6}{-2}=-\frac{6}{2}=-3$

Part 3:

For this part, we need to find the x-intercepts. This is, when y = 0:

$-x^2-6x-13=0$

To solve this, we can use the quadratic formula:

$x_{1,2}=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot(-1)\cdot(-13)}}{2(-1)}$

And solve:

$x_{1,2}=\frac{6\pm\sqrt{36-52}}{-2}$ $x_{1,2}=\frac{-6\pm\sqrt{-16}}{2}$

Since there is no solution to the square root of a negative number, the function does not have any x-intercept. The correct option is ZERO x-intercepts.

Part 4:

To find the y intercept, we need to find the value of y when x = 0:

$y=-0^2-6\cdot0-13=-13$

The y-intercept is at (0, -13)

Part 5:

Now we need to find two points in the parabola. Let-s evaluate the function when x = 1 and x = -1:

$x=1\Rightarrow y=-1^2-6\cdot1-13=-1-6-13=-20$ $x=-1\Rightarrow y=-(-1)^2-6\cdot(-1)-13=-1+6-13=-8$

The two points are:

(1, -20)

(-1, -8)

Part 6:

Now, we can use 3 points to find the graph of the parabola.

We can locate (1, -20) and (-1, -8)

The third could be the vertex. We need to find the y-coordinate of the vertex. We know that the x-coordinate of the vertex is x = -3

Then, y-coordinate of the vertex is:

$y=-(-3)^2-6(-3)-13=-9+18-13=-4$

The third point we can use is (-3, -4)

Now we can locate them in the cartesian plane:

And that's enough to get the full graph:

8 0

7 months ago

What is r ÷ p equal to?

marshall27 [118]

Answer:

if those are variables they can equal anything you want like r=4 and p=2 r/p = 2

Step-by-step explanation:

7 0

2 years ago

Please help me , I need it

alexgriva [62]

Answer:

A would be 150 times.

Step-by-step explanation:

I can't see the options for Part B so i cant help with that sorry. I think A would be 150 times though because with numbers 1-10, half of them are even and half of them are odd and half of 300 is 150.

7 0

2 years ago

Does 6(3-5w)=5(4-2w)-20w have one solution, no solution, or infinitely many solutions?

dem82 [27]

Answer:

infinite

Step-by-step explanation:

trust me I would know im a smart man in college

7 0

2 years ago

Compare |0.47| and |-0.51|

Paraphin [41]

Answer:

A is the correct answer

Step-by-step explanation:

As the question is asking what simple is the correct one and the lines sorry I forgot what the name of them is. Then lines make negatives positive it does not effect a positive number as the number is positive.

7 0

2 years ago