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3 years ago

Find the vertex, the axis of symmetry, and the y-intercept of the graph.

Mathematics

1 answer:

UNO [17]3 years ago

6 0

Given:

Given that the graph of the parabola.

We need to determine the vertex, the axis of symmetry and the y - intercept of the graph.

Vertex:

The vertex of the parabola is the point at which the parabola changes its direction.

From the graph, it is obvious that the parabola changes its direction at the point (-2,0)

Hence, the vertex of the graph is (-2,0)

Axis of symmetry:

The axis of symmetry is the line that divides the parabola exactly into two equal halves.

Hence, from the graph, it is obvious the line x = -2 divides the graph exactly into two equal halves.

Hence, the axis of symmetry is x = -2.

y - intercept:

The y - intercept of the parabola is the value of y when x = 0.

In other words, the y - intercept of the graph is the value of y when the line passes through the y - axis.

Thus, from the graph it is obvious that when x = 0, the value of y is -3.

Hence, the y - intercept of the graph is -3.

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Write the number shown in standard form and expanded notation

zhenek [66]

Given:

Standard form and expanded notation

Find-:

The number shown in standard form and expanded notation

Explanation-:

The standard form is

Standard form = The standard form is

$abcde=a.bcde\times10^4$

For example, is

$5326.6=5.3266\times10^3$

The expanded form is

The expanded = Expanded form is a way to write a number by adding the value of its digits. We can use a place value chart to determine the value of a number's digits.

For example

$7229=7000+200+20+9$

3 0

1 year ago

Help! Algebra! please answer if you only know! and make it undertanding!

snow_lady [41]

1. a. Pretty much, you just have to rearrange it so that the highest power is in the front. So, here's your answer:
$-6x^4+4x^2+2$
b. It's a 4th-degree polynomial. A degree means that "what's the highest power?"
c. It's a trinomial. It has 3 terms, hence it's a trinomial.

2. a. Since it's an odd power and a negative coefficient, it will be:
x→∞, f(x)→-∞
x→-∞, f(x)→∞
b. The degree is even and the coefficient is negative, so it will be:
x→∞, f(x)→-∞
x→-∞, f(x)→-∞

3. a. This basically means that if you solve for x, you should get -2, 1, and 2. So, to do this, you can just write it in factored form and multiply inwards using any method of your choice (remember that in the parentheses, you should get the above value if you solve for x):
$f(x) = (x-2)(x+2)(x-1)$
If you multiply it out, you get (also your answer):
$x^3-x^2-4x+4$

4. The zeros are at x = 3, 2 and -7. Multiplicity of 3 is 1, for 2 it's 2, and for -7 it's 3.

Hope this helps!

6 0

3 years ago

Read 2 more answers

What information does the ordered pair (3, 87) represent?

mafiozo [28]

The 3 (x-coordinate) indicates that from the origin (0,0) in the cartesian plane, you have traveled four units to the right along the x-axis(the horizontal axis).

The 87 indicates that you traveled 87 units up in the y-axis(vertical axis), in line with the point 3 in the x-axis.This number is the y-coordinate, the second number in the ordered pair.

8 0

3 years ago

Kaitlin drove 936 miles in 13 hours.

sergij07 [2.7K]

Answer:

756 miles

Step-by-step explanation:

Divide 936 by 13 to get 72, the miles per hour and then multiply by 8

5 0

3 years ago

There are 18 students on the debate club. How many ways can the club send 4 students to the next debate

olya-2409 [2.1K]

There are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have the total number of students = 18

The number of ways the club send 4 students to the next debate is:

= C(18, 4)

$= \rm \dfrac{18!}{4!(18-4)!}$

= 3060

Thus, there are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ1

5 0

2 years ago