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docker41 [41]
2 years ago
9

What is the equation of the function represented by this graph?

Mathematics
1 answer:
gayaneshka [121]2 years ago
6 0

Answer:

\displaystyle g(x) = -(x + 2)(x - 4)

Step-by-step explanation:

First, look at the graph to determine whether it opens down or up, which in this case is <em>down</em>, so you insert a negative in front of the expression. Next, locate your <em>x-intercepts</em> [<em>zeros</em> (where the graph insects the x-axis)]. You will see that the graph intersects \displaystyle [-2, 0] and \displaystyle [4, 0], so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, \displaystyle y = A[x - h]^2 + k, that negative in front of \displaystyle h gives you the OPPOCITE outcome, so be careful.

I am joyous to assist you at any time.

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For his job at the hardware store, Michael distributes 2,345 packages of screws into 5 equal groups for shipping. How many packa
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Hence the number of packages of screws in each shipping box is: 469

Hence option (B) is correct.

6 0
3 years ago
Can someone help me please
marysya [2.9K]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
What are the coordinates of the terminal point determined by t=20pi/3?
attashe74 [19]

Answer:

(- 1/2 , √3/2)

Step-by-step explanation:

t=20π/3

t' = 20π/3 - 6π = 2π/3   (120°) ... 2nd quadrant

If we start from (1,0) of unit circle, the coordinate of terminal point (x,y)

OF/OE = - cos 60° = x / 1 =  - 1/2

FE/OE = sin 60° = y/1  = √3/2

3 0
3 years ago
F(x) = 2x^2 − 3x − 5 Part
riadik2000 [5.3K]

Answer:  Answer  is in the steps..

Step-by-step explanation:

f(x)= 2x^{2} - 3x -5        

A) To find the x intercepts of a parabola we have to set the whole equation equal zero because the x intercept is when y equal zero in other words where f(x) equal zero.

 2x^{2}  - 3x - 5 = 0     Now solve using quadratic formula.

  x = -b±\frac{\sqrt{b^2 -4ac } }{2a}    

  x = 3 ± \sqrt{9+40} /2a  

   x = 3 ± \sqrt{49}  / 2a

   x= 3 ± 7 /4

   x= -1   or x = 5/2  

The x intercepts are  (5/2,0)  and (-1,0)

   

B)  The graph vertex of the graph of f(x)  is going to be at a minimum because the leading coefficient of the function has a positive integer which means the parabola will open up and its vertex will be at the minimum point.

 Using the  x coordinates  we could find their average and find the x coordinate of the   vertex.

\frac{5}{2} + -\frac{1}{1}  =  \frac{3}{2} / \frac{2}{1} = 3/4  

The x coordinate of the vertex  is 3/4 so we will input that into the equation and solve for the y coordinate  

2(\frac{3}{4})^2 - 3 (\frac{3}{4}) - 5   = 18/16 - 9/4 -5  =  -49/8

The y coordinate of the vertex  is  -49/8

So the vertex is (3/4, -49/8)  

C)   First  I will graph the vertex and then graph he two x intercepts and connect then like a U shape.

5 0
3 years ago
Solve the following equation. Then place the correct number in the box provided.
Greeley [361]

3x+1=2x+12

3x-2x=12-1

x=11

6 0
3 years ago
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