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vredina [299]
3 years ago
15

What is the vertex of the quadratic function f(x) = (x-8)(x - 2)?

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

The vertex is at (5, -9)

Step-by-step explanation:

The vertex is halfway between the zeros

f(x) = (x-8)(x - 2)

0  = (x-8)(x - 2)

x=8 and x=2 are the two zeros

(8+2)/2 = 10/2 = 5

The x coordinate is at 5

The y coordinate is found by substituting the x coordinate into the function

f(5) = (5-8)(5 - 2) = -3 (3) = -9

The vertex is at (5, -9)

You might be interested in
The sum of four consecutive even integers is 256. what are the numbers?
Naily [24]

Answer:

61 , 63 , 65 , 67

Step-by-step explanation:

Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:

(x) + (x + 2) + (x + 4) (x + 6) = 256

First, simplify. Combine all like terms:

x + x + x + x + 2 + 4 + 6 = 256

4x + 12 = 256

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

4x + 12 (-12) = 256 (-12)

4x = 256 - 12

4x = 144

Next, divide 4 from both sides of the equation:

(4x)/4 = (144)/4

x = 144/4

x = 61

61 is your first number. Find the next 3 consecutive numbers:

x = 61

x + 2 = 63

x + 4 = 65

x + 6 = 67

Check:

61 + 63 + 65 + 67 = 256

256 = 256

~

7 0
3 years ago
Which set of points represents a function?
Aloiza [94]
A is the answer because it does not repeat any of the x numbers
8 0
3 years ago
Determine whether the function f(x)=4x^3 is even or odd
slega [8]

Answer:

Step-by-step explanation:

Answer:

odd function

Explanation:

   To determine if a function f(x) is even/odd consider the following.

   • If f(x) = f( -x) , then f(x) is even

   Even functions are symmetrical about the y-axis.

   • If - f(x) = f(-x) , then f(x) is odd

   Odd functions have symmetry about the origin.

   Test for even function

   f(−x)=4(−x)3=−4x3≠f(x)

   Since f(x) ≠ f( -x) , then f(x) is not even

   Test for odd function

   −f(x)=−(4x3)=−4x3=f(−x)

   Since - f(x) = f( -x) , then f(x) is odd

   graph{4x^3 [-10, 10, -5, 5]}

 

7 0
4 years ago
Read 2 more answers
I don't understand all three. What am I supposed to do and what is the answer?
AlladinOne [14]

Answer:

Step-by-step explanation:

The Domain means all possible values that x can be.

The range is the outcomes you get when you plug in the domain.

For each function, choose values for x.

Then solve

The outcome you get is f(x)

F(X) is an easier way of saying y,

If its easier this way, in terms of y, the equations would be y=-4x, y=x+6, and y=3x+2. You would solve these as you solve linear equations!

Ordered pair of [x,f(x)]

Lets Start!

#1

x | -4x | f(x)  

Lets use the values -2, -1, 0, 1, and 2 for x.

-2 | -4(-2) | 8  (-2,8)

-1 | -4(-1) | 4  (-1,4)

0 | -4(0) | 0  (0,0)

1 | -4(1) | -4  (1,-4)

2 | -4(2) | -8  (2,-8)

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {8,4,0,-4,-8}

Domain and Range of entire function- All real numbers

#2

x | x+6 | f(x)

Lets use the values -2, -1, 0, 1, and 2 for x.

-2 | -2 + 6 | 4

-1 | -1 + 6 | 5

0 | 0 + 6 | 6

1 | 1 + 6 | 7

2 | 2 + 6 | 8

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {4,5,6,7,8}

Domain and Range of entire function- All real numbers

#3

x | 3x + 2 | f(x)

-2 | 3(-2) + 2 | 4

-1 | 3(-1) + 2 | -1

0 | 3(0) + 2 | 2

1 | 3(1) + 2 | 5

2 | 3(2) + 2 | 8

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {4,-1,2,5,8}

Domain and Range of entire function- All real numbers

Hope i helped, Brainliest would be appreciated.

Have a nice day!

   -Aadi x

3 0
3 years ago
One way to determine the surface area a this cylinder is to-
malfutka [58]

Answer:

  a. add the areas of both bases to the rectangular area around the cylinder

Step-by-step explanation:

None of the other choices has anything to do with the surface area of a cylinder.

_____

Use your sense of what the question is asking about.

5 0
3 years ago
Read 2 more answers
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