WILL GIVE BRAINLIEST!!!!!
1. Use the parabola tool to graph the quadratic function f(x)=x2+10x+16 . Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

2. Use the parabola tool to graph the quadratic function f(x)=−(x−3)(x+1) .
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

3. Use the parabola tool to graph the quadratic function f(x)=−x2+4.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

4. Use the parabola tool to graph the quadratic function f(x)=2x2+16x+30 .
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

5. Select ALL the statements that are true for the graph of y=(x+2)2+4 .

The graph has a maximum.

The graph has a minimum.

The vertex is (2, 4) .

The vertex is ​ (−2, 4) ​.

1. f(x)=x²+10x+16

Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=1(As, a>0 the parabola is open upward), b=10. by putting the values.

-b/2a = -10/2(1) = -5

f(-b/2a)= f(-5)= (-5)²+10(-5)+16= -9

So, Vertex = (-5, -9)

Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+16, we get point (0,16).

Now find x-intercept put y=0 in the above equation. 0= x²+10x+16

x²+10x+16=0 ⇒x²+8x+2x+16=0 ⇒x(x+8)+2(x+8)=0 ⇒(x+8)(x+2)=0 ⇒x=-8 , x=-2

From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.

2. f(x)=−(x−3)(x+1)

By multiplying the factors, the general form is f(x)= -x²+2x+3.

Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=-1(As, a<0 the parabola is open downward), b=2. by putting the values.

-b/2a = -2/2(-1) = 1

f(-b/2a)= f(1)=-(1)²+2(1)+3= 4

So, Vertex = (1, 4)

Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+3, we get point (0, 3).

Now find x-intercept put y=0 in the above equation. 0= -x²+2x+3.

-x²+2x+3=0 the factor form is already given in the question so, ⇒-(x-3)(x+1)=0 ⇒x=3 , x=-1

From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.

3. f(x)= −x²+4

Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=-1(As, a<0 the parabola is open downward), b=0. by putting the values.

-b/2a = -0/2(-1) = 0

f(-b/2a)= f(0)= −(0)²+4 =4

So, Vertex = (0, 4)

Now, find y- intercept put x=0 in the above equation. f(0)= −(0)²+4, we get point (0, 4).

Now find x-intercept put y=0 in the above equation. 0= −x²+4

−x²+4=0 ⇒-(x²-4)=0 ⇒ -(x-2)(x+2)=0 ⇒x=2 , x=-2

From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.

4. f(x)=2x²+16x+30

Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=2(As, a>0 the parabola is open upward), b=16. by putting the values.

-b/2a = -16/2(2) = -4

f(-b/2a)= f(-4)= 2(-4)²+16(-4)+30 = -2

So, Vertex = (-4, -2)

Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+30, we get point (0, 30).

Now find x-intercept put y=0 in the above equation. 0=2x²+16x+30

2x²+16x+30=0 ⇒2(x²+8x+15)=0 ⇒x²+8x+15=0 ⇒x²+5x+3x+15=0 ⇒x(x+5)+3(x+5)=0 ⇒(x+5)(x+3)=0 ⇒x=-5 , x= -3

From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.

5. y=(x+2)²+4

The general form of parabola is y=a(x-h)²+k , where vertex = (h,k)

if a>0 parabola is opened upward.

if a<0 parabola is opened downward.

Compare the given equation with general form of parabola.

-h=2 ⇒h=-2

k=4

so, vertex= (-2, 4)

As, a=1 which is greater than 0 so parabola is opened upward and the graph has minimum.

The graph is attached below.

Here are a bunch of CORRECT answers, your answer is somewhere in there. For the first CORRECT answer the second point is -5,-9. Don't make the same mistake I did on question 3, but it still shows the correct answer. I love to help.

Factor completely x^2 − 36.

(x + 6)(x − 6)
(x + 6)(x + 6)
(x − 6)(x − 6)
Prime

Given: g ∥ h and ∠2 ≅ ∠3
Prove: e ∥ f

Statements Reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2. corresponding angles theorme
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. ?
What is the missing reason in the proof?

A. vertical angles theorem
B. alternate exterior angles theorem
C. converse corresponding angles theorem
D. converse alternate interior angles theorem

Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house

A transformation T: (x, y) (x - 5, y + 3).
The image of A(2, -1) is

(3, 2)
(-3, 2)
(-3, -2)

The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the perimeter of the rectangle? A) 14x − 6 B) − 8x + 2 C) 6x2 − 8x D) 6x2 − 8x + 2

the number of squares in 15 quilts if 6 quilts have 288 squares

Find the dimensions of a rectangle with a perimeter of 72 cm if the length is 8 cm less than three times the width.

Which economic system is friendliest to entrepreneurs?
a.socialismb.communismc.capitalismd.They are all equally accepting, since entrepreneurship relies on the individual.

Riley is saving up to buy a new television. She needs a total of $1,142.58. Riley has saved $200.82 already and earns $78.48 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
A.
10
B.
13
C.
11
D.
12

Dalia is installing a tile floor in a rectangular room. Dalia has 152152152 tiles available to tile the room. If each row requires 9\large\frac{1}{2}9 ​2 ​ ​1 ​​ 9, start fraction, 1, divided by, 2, end fraction tiles, and 191919 tiles break while Dalia is laying the floor, how many full rows of unbroken tile can she install before running out of tiles?

Which matrix will always give a determinant of 0?

How many solutions does the following equation have?

4(y - 30) = 4y + 12

a. No solutions
b. Exactly one solution
c. Infinitely many solutions

Solve P=hr(1-d) for d

A jug of juice has 7 cups of pineapple juice and 3 cups of orange juice. write the ratio of number of cups of pineapple juice to total number of cups of juice *

Emma took a taxi from the airport to her house. She paid a flat fee of $5$5 plus $3.70 per mile. The fare came to $42. For Emma's taxi ride, which equation gives the correct distance (
d.d in miles?

Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.

IMAGE ATTACHED

A research organization recently issued a statement suggesting that 80% of American voters are dissatisfied with the work of Congress. You designed a simulation to generate sample data to reflect this proportion. An automated random number sample program is used that has a sample of size 50, is run 100 times, and uses the numbers 1 through 16 to represent dissatisfied voters and the numbers 17 through 20 to represent satisfied voters. The dot plot below represents the outcome of the simulation, with the margin of error displayed.

Dot plot titled Simulation of 80 percent Dissatisfaction with Congress with x axis labeled Number of Yeses in Sample of 20 and ranges from 33 to 48 and y axis labeled Frequency ranges from 0 to 20. The sample size is 50 and the number of trials is 100. The mean is shown to fall somewhere between 39 and 40 on x axis and margin of error is represented with vertical lines on either side of the mean, one at approximately x equals 38 and one half and the other at approximately x equals 40 and one half. There are three dots arranged vertically from 35,1 to 35,3 and six dots arranged vertically from 36,1 to 36,6 and four dots arranged vertically from 37,1 to 37,4 and fifteen dots arranged vertically from 38,1 to 38,15 and nineteen dots arranged vertically from 39,1 to 39,19 and eighteen dots arranged vertically from 40,1 to 40,18 and ten dots arranged vertically from 41,1 to 41,10 and thirteen dots arranged vertically from 42,1 to 42,13 and seven dots arranged vertically from 43,1 to 43,7 and two dots arranged vertically from 44,1 to 44,2 and two dots arranged vertically from 45,1 to 45,2 and one dot at 46,1.

Using the data from this simulation, what is the sample mean (rounded to the nearest tenth), x bar comma and approximately what proportion of voters are dissatisfied?

x bar equals 39.6 and approximately 79.2% of voters are dissatisfied with Congress
x bar equals 39.8 and approximately 79.6% of voters are dissatisfied with Congress
x bar equals 39.9 and approximately 79.8% of voters are dissatisfied with Congress
x bar equals 40.0 and approximately 80.0% of voters are dissatisfied with Congress

Which pair of expressions is equivalent for any variable value greater than zero?

A mother has 5 liters of cream to make ice cream for a party.suger comes in 1kg bags how many suger will be needed

A restaurant purchased 160 boxes of mustard packets. Each box contained 103 packets of mustard. How many mustard packets in total did the restaurant purchase?

Suppose that x and y vary inversely and x = 1 when y = 12. Write a function that models the inverse variation. Graph the function and find y when x = 20.

Write a function that models the inverse variation.

You are choosing between two different cell phone plans. the first plan charges a rate of 25 cents per minute. the second plan charges a monthly fee of $49.95 plus 10 cents per minute. how many minutes would you have to use in a month in order for the second plan to be preferable

how do you do the elimination method? Example: -8+6y=2;16x-3y= -13

(click on picture to see the full thing)

Please literally anyone help

Is it possible for a system to have more than one solution? Explain your answer

need help ive always had trouble with writing functions.

Candy is on sale for $0.75 each. you have a coupon for $0.25 off your total purchase. write a function rule for the cost of n pieces of candy.

A. C(n)0.25n-0.75
B. C(n)=0.75n-0.25
C. C(n)=1.0n
D. C(n)=0.75n

The rocks near the shore between two lighthouses at points A and B make the waters unsafe. The measure of arcAXB is 300. Waters inside this arc are unsafe. Suppose you are a navigator on a ship at sea. How can you use the lighthouses to keep the ship in safe waters?

Simplify by using fractional exponents.
[tex] \sqrt{mn}[/tex]

Need the answer fast, anyone know?

Determine if each set of ordered pairs represents a function