1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vazorg [7]
3 years ago
11

WILL GIVE BRAINLIEST!!!!!

Mathematics
2 answers:
Ymorist [56]3 years ago
7 0

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.

dimaraw [331]3 years ago
5 0

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.

You might be interested in
Give me you snap and insta
VladimirAG [237]

Answer:

hell naw

Step-by-step explanation:

5 0
2 years ago
If 5 pounds of broccoli costs $12.00 then how much will 7 pounds of broccoli cost
kondaur [170]
Each pound costs 2.40, 
to check this 2.40 * 5 = 12
so 2.40 * 7 = 16.80

Answer: 16.80
8 0
2 years ago
4 plus the quotient of r and 5 <br> Write an algebraic expression
Dmitriy789 [7]

Answer:

4 +(r/5)

Step-by-step explanation:

7 0
2 years ago
Mary has four daughters, and each of her daughters has a brother. How many children does Mary have?
Jet001 [13]

Answer:

um 8??

Step-by-step explanation:

5 0
3 years ago
Question 2(Multiple Choice Worth 5 points) (04.05)Marcus painted one-third of his bedroom in fourth-fifths of an hour. At this r
Yuri [45]

Answer: Twelve fifth of an Hour

Step-by-step explanation: a whole is represented by 1

1/3=4/5hours

Whole room 1 =4/5 ÷ 1/3

=4/5×3/1

=4×3/5

=12/5

That's twelve fifth of an hour

4 0
3 years ago
Other questions:
  • What is -5x + 15 = 35 - 10x
    15·2 answers
  • Convert to decimal 5 3/7
    10·2 answers
  • If the starting celcis is +40 and it changes to 5 degrees colder what’s the final celcis
    14·1 answer
  • kendra is 3 times her duahters age plus 7myears kendra is 49 years old. write an equation to find her duaters age
    7·1 answer
  • 1. Find the perimeter.<br> 13 yd<br> 14 yd<br> 7 yd<br> 18 yd
    10·2 answers
  • A mother has two apples, three pears, and four oranges. She plans to give her son one piece of fruit every morning for nine days
    6·1 answer
  • Write this percentage as a fraction in its simplest form.<br> 37&amp;
    10·1 answer
  • A trash can is shaped like a cylinder. The radius of the trash can is 12 inches, and the height of the container is 31.5 inches.
    5·1 answer
  • (7y – 20)<br> (5х – 38)<br> (3х – 4)<br> -<br> m
    11·1 answer
  • (5x-6) + (2x-6)add the polynomials
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!