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3 years ago

What is the equation of the function that is graphed as line b?

Mathematics

2 answers:

alina1380 [7]3 years ago

3 0

-- Look at the places where the line crosses the 'x' axis and the 'y' axis.
   Between those two points, it goes forward 2 units, but only rises 1 unit.
   So the slope of the line is 1/2 .

-- Look again at the point where the line crosses the y-axis.
   At that point, y=1 .
   That's the "y-intercept".

Now you have the slope and y-intercept of the line.

The equation of ANY straight line is

   y = (slope)x + (y-intercept) .

You know what they both are, so you can easily write

   y = 1/2 x + 1 .

Is that one of the choices ?
Yes it is.
Good enough for me.
That must be the correct one.

With no "blah blah blah" required.

mafiozo [28]3 years ago

3 0

Y=1/2x+1. I need to make it longer so blah blah blah.

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How do I solve question 6 through 8?<br> Solve for me

rewona [7]

The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

<h3>How to determine the functions?</h3>

A quadratic function is represented as:

y = a(x - h)^2 + k

<u>Question #6</u>

The vertex of the graph is

(h, k) = (-1, 2)

So, we have:

y = a(x + 1)^2 + 2

The graph pass through the f(0) = -2

So, we have:

-2 = a(0 + 1)^2 + 2

Evaluate the like terms

a = -4

Substitute a = -4 in y = a(x + 1)^2 + 2

y = -4(x + 1)^2 + 2

<u>Question #7</u>

The vertex of the graph is

(h, k) = (2, 1)

So, we have:

y = a(x - 2)^2 + 1

The graph pass through (1, 3)

So, we have:

3 = a(1 - 2)^2 + 1

Evaluate the like terms

a = 2

Substitute a = 2 in y = a(x - 2)^2 + 1

y = 2(x - 2)^2 + 1

<u>Question #8</u>

The vertex of the graph is

(h, k) = (1, -2)

So, we have:

y = a(x - 1)^2 - 2

The graph pass through (0, -3)

So, we have:

-3 = a(0 - 1)^2 - 2

Evaluate the like terms

a = -1

Substitute a = -1 in y = a(x - 1)^2 - 2

y = -(x - 1)^2 - 2

Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

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2 years ago

How many numbers have absolute value 3?

kirill115 [55]

Answer:

how many numbers have absolute value 3? zero is your answer

how many numbers have absolute value a, if a>0? your answer is also zero

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP, I WILL MARK BRAINLIEST FOR THE FIRST CORRECT ANSWER))

madam [21]

Answer:

The volume of this cylinder is 9184.5 cubic feet.

Step-by-step explanation:

The area of a circle is $\pi r^2$ and the volume of a cylinder with that base is just that area times the height:

$V=\pi r^2\times h$

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

$r=30\times0.5=15$

Next, you can use that radius to calculate the area of the base:

$A=3.14\times15^2\\A=3.14\times225\\A=706.5$

Finally, multiply that by the height to find the volume of the cylinder:

$V=706.5\times13\\V=9184.5$

The volume of this cylinder is 9184.5 cubic feet.

7 0

3 years ago

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MAVERICK [17]

Answer:

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Step-by-step explanation:

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3 years ago

Simplified or solved for x ????

Leya [2.2K]

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3 years ago