What type of function is represented?

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

Read more about quadratic functions at:

https://brainly.com/question/11631534

Answer:

y = 0.5 cosine (4 (x - pi/2)) - 2

Step-by-step explanation:

Taking the general form:

y = A cosine (Bx - Cπ)) + D

In the following case. the constants are:

y = 0.5 cosine (4x - 2π)) - 2

A: 0.5

B: 4

C: 2π

D: -2

The range of this function is:

range = [-|A|+D, |A|+D]

range = [-0.5-2, 0.5-2]

range = [-2.5, -1.5]

Which coincides with "It has a maximum at negative 1.5 and a minimum at negative 2.5"

At x = 0, the function value is:

y = 0.5 cosine (4(0) - 2π)) - 2

y = 0.5 - 2 = -1.5

As indicated in "a curve crosses the y-axis at y = negative 1.5"

The period of the function is:

period: 2π/B

period = 2π/4 = π/2 or 2 cycles at π

as described in "It goes through 2 cycles at pi."

Answer:

B) y = 0.5 cosine (4 (x minus StartFraction pi Over 2 EndFraction)) minus 2

Explanation:

Hope you have a great day!

Answer:

25. C

26. F

Step-by-step explanation:

26.

You know that the sum of all of the angles in a triangle must be equal to 180º, we can make an equation.

55º + 67.5º + 3xº + 14º = 180º

Combine like terms:

136.50º+ 3xº = 180º

Subtract 136.50º

3xº = 180º - 136.50º

3xº = 43.50º

Divide by 3

xº = 43.50º / 3º

x = 14.50º

We have been given that the graph of [tex]F(x)[/tex] has the same shape as the graph of [tex]G(x)=x^2[/tex], but it is flipped over the x-axis and shifted down 1 unit. We are asked to find the equation of [tex]F(x)[/tex].

We will use transformation rules to solve our given problem.

The rule of reflection of a graph about x-axis is [tex]f(x)\Rightarrow -f(x)[/tex].

Let us find [tex]-G(x)[/tex] as:

[tex]-G(x)=-(x^2)=-x^2[/tex]

Now we will shift our graph 1 unit down.

[tex]f(x)-a\Rightarrow\text{Graph shifted downwards by a units}[/tex], where a is a positive number.

This is same as subtracting 1 from [tex]-x^2[/tex] as:

[tex]F(x)=-x^2-1[/tex]

Therefore, our required function would be [tex]F(x)=-x^2-1[/tex].

Answer:

The perimeter of rectangle ABCD = 16 units

Step-by-step explanation:

The vertices of the rectangle: A(−2,1), B(3, 1), C(3,4), and D(−2,4).

AB is horizontal, so measre the difference between the x coordinates of A and B.

between -2 and 3 are 5 units.

BC is vertical, so measre the difference between the y coordinates of B and C.

between 4 and 1 is 3 units.

The perimeter = 2 * ( AB + BC )

Substitute AB = 5 and CD = 3

2 * ( 5 + 3 )

2 * 8

The perimeter of rectangle ABCD = 16 units

Answer:

16 units

Step-by-step explanation:

finding the lengths of all sides which are 5,5,3, and 3 then adding them will get you 16 units.

Answer:

- 18x + 32

Step-by-step explanation:

Given

- 2x - 4(4x - 8) ← distribute parenthesis

= - 2x - 16x + 32 ← collect like terms

= - 18x + 32

Answer:

5/2 or 3/2

Step-by-step explanation:

(2x-3)(2x-3)

FOIL it out

4x^2-6x-6x+9

4x^2-12x+9=4x-6

add 12x to each side

4x^2+9=16x-6

add 6

4x^2+15=16x

4x^2-16x+15=0

use quadratic formula

Answer:

15ft

Step-by-step explanation:

a^2 + b^2 = c^2

12 or 9 can equal to b or a

12^2 + 9^2 = c^2

144 + 81 = c ^2

225 = c^2

Square root of 225

15 = c

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81+144 = c^2

225 = c^2

15 = c

Answer:

see below

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

this took like forever but there u go

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

A

Step-by-step explanation:

Our equation is:

[tex]\frac{2}{3} *(\frac{1}{2} x+12)=\frac{1}{2} *(\frac{1}{3} x+14)-3[/tex]

Let's first distribute the left side. When distributing, we essentially find the sum of the product of the outside term with each of the inside terms. Here, the outside term is 2/3 and the inside terms are 1/2x and 12. So:

[tex]\frac{2}{3} *(\frac{1}{2} x+12)=\frac{2}{3} *\frac{1}{2} x+\frac{2}{3} *12=\frac{1}{3} x+8[/tex]

Now distribute the right side. Here, the outside term is 1/2 and the inside terms are 1/3x and 14, so:

[tex]\frac{1}{2} *(\frac{1}{3} x+14)-3[/tex]

[tex]\frac{1}{2} *(\frac{1}{3} x+14)-3=\frac{1}{2} *\frac{1}{3} x+\frac{1}{2} *14-3=\frac{1}{6} x+7-3=\frac{1}{6} x+4[/tex]

We now have:

[tex]\frac{1}{3} x+8=\frac{1}{6} x+4[/tex]

Isolate the variable by bringing 1/6x to the left and bringing 8 to the right:

[tex]\frac{1}{3} x-\frac{1}{6} x=4-8[/tex]

[tex]\frac{2}{6} x-\frac{1}{6} x=-4[/tex]

[tex]\frac{1}{6} x=-4[/tex]

x = -4 * 6 = -24

The answer is A.

Steps to solve:

2/3(1/2x + 12) = 1/2(1/3x + 14) - 3

~Distribute

1/3x + 8 = 1/6x + 7 - 3

~Combine like terms

1/3x + 8 = 1/6x + 4

~Subtract 1/6x to both sides

1/3x + 8 - 1/6x = 1/6x + 4 - 1/6x

~Simplify

1/6x + 8 = 4

~Subtract 8 to both sides

1/6x + 8 - 8 = 4 - 8

~Simplify

1/6x = -4

~Multiply 6 to both sides

1/6x * 6 = -4 * 6

~Simplify

x = -24

Best of Luck!

Answer:

i dont know need points

Step-by-step explanation:

Answer:

(x-8y)(x-8y) or (x-8y)^2

Answer:

$1.5

Step-by-step explanation:

Answer:

B 120 different combinations

Step-by-step explanation:

There are 6 letters to choose from

Picking a letter for the first spot  6

Then there are 5 letters left

Picking a letter for the second spot  5

Then there are 4 letters left

Picking a letter for the second spot  4

6*5*4

= 120

Answer: The missing coordinate R is 5.

Step-by-step explanation:

11=1/2(-4) + B

11=-2 +B  

B= 13

B represents the y-intercept

so we will use the equation y=mx + B  and we know the slope and y intercept.

r= 1/2(-16) + 13

r= 5

Answer:

69.8

Step-by-step explanation:

Answer:

9, 6, 3, 0

Step-by-step explanation:

I just input the values multiplied and subtracting from using the number 15

Answer:

3

Step-by-step explanation:

Answer:

Answers are below

Step-by-step explanation:

a. 4⁄16      Proper because the numerator is less than the denominator.

b. 75⁄70   Improper because the numerator is greater than the denominator.

c. 2⁄15      Proper because the numerator is less than the denominator.

d. 6⁄6       Proper because the numerator is less than or equal to the denominator.

If these answers are correct, please make me Brainliest!

Answer:

it is 200-299

Step-by-step explanation:

i think that because it shows it and it is easy i mean if u look at it it shows the answer

Answer:

if it was out of all of the data it would be 76 / 300

Answer:

Step-by-step explanation:

Answer:

B. 0.583

Step-by-step explanation:

Answer:

y is 10 degrees the pink one

y = 10

Hope This helps :D

Answer:

Pretty sure its A

Step-by-step explanation:

wait hold on im wrong

how do you delete an answer

Answer:

729

Step-by-step explanation:

9³ you just type that in the calculator

Answer:

[tex] {3}^{6}[/tex]

Step-by-step explanation:

[tex] \huge {9}^{3} \\ \huge= ( {3}^{2} )^{3} \\ \huge = {3}^{2 \times 3} \\ \huge= {3}^{6}[/tex]

Answer:

(C)The relationship is multiplicative  because the number of gallons can be

found by multiplying the number of  minutes by 8.

Step-by-step explanation:

Given the table below which shows the relationship between the number of minutes that a hose  has been on and the number of gallons of water that have been added to a  plastic pool.

[tex]\left|\begin{array}{c|c}$Minutes Hose On&$Gallons of Water in Pool\\-------&-------\\0&0\\5&40\\10&80\\15&120\\20&160\end{array}\right|[/tex]

We can see that if we multiply the first column by 8, we will obtain the second column. Therefore the relationship is multiplicative because the number of gallons can be  found by multiplying the number of  minutes by 8.

The correct option is C.

Answer:

7.2

Step-by-step explanation:

divide 28.8 by 4

Answer:take 9x49

Step-by-step explanation:

You’ll get the answer

Answer:y-3=-3/4(x+8)

Step-by-step explanation: you plug the numbers into the formula y-y1=slope(x-x1)