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Svetlanka [38]
3 years ago
11

If the graph is reflected across the y-axis, what will be the equation of the new graph?

Mathematics
2 answers:
Alexxandr [17]3 years ago
6 0

Step-by-step explanation:

If the graph is reflected across the y-axis, what will be the equation of the new graph?

a) y=-3^-x+1

b) y=3^-x+1

c) y=-3^x-1

d) y=-3^x+1

Bumek [7]3 years ago
5 0

Answer:

\displaystyle b)y =  { 3}^{ - x}  + 1

Step-by-step explanation:

we are given a exponential function

\displaystyle y =  {3}^{x}  + 1

we want to figure out the equation of the new graph reflected across the y-axis

remember that,

\rm\displaystyle (x,y) \xrightarrow{ \text{ reflection  over  y - axis}}( - x,y)

let y be 3^x+1 so,

\rm\displaystyle (x,y) \xrightarrow{ \text{ reflection  over  y - axis}}( - x, {3}^{ - x} + 1 )

hence,

the equation of the new graph

\displaystyle y =  { 3}^{ - x}  + 1

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\frac{x^\frac{1}{2} }{x^\frac{2}{7}}

According to the rule of exponents \frac{a^m}{a^n} = a^{(m-n)} , i.e. when two terms are in division with same base , we subtract the exponents

So

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=x^\frac{3}{14}

Or

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Step-by-step explanation:

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3 years ago
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Consider this system of equations.  x + 2y = 5,  –x + 3y = 6 The x- and y-intercepts of the first equation are found below. x-in
vichka [17]

Answer:

Part 1) The x-intercept is the point (-6,0)

Part 2) The y-intercept is the point (0,2)

Step-by-step explanation:

we know that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

we have

-x+3y=6

Part 1) Find the x-intercept

For y=0

substitute the value of y in the linear equation and solve for x

-x+3(0)=6

-x=6

x=-6

The x-intercept is the point (-6,0)

Part 2) Find the y-intercept

For x=0

substitute the value of x in the linear equation and solve for y

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3y=6

y=2

The y-intercept is the point (0,2)

7 0
3 years ago
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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh
monitta

Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=6\ cm

h=12\ cm

substitute

V=\frac{1}{3}\pi (6)^{2}(12)

V=144\pi\ cm^{3}

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

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therefore

The portion of the volume of the cup that is filled with water is

\frac{1}{8}

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