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3 years ago

In which direction must the graph of f(x)=2^x be shifted to produce the graph of g(x)=2 (x-7)?

Mathematics

1 answer:

Kruka [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

g(x) = $2^{(x-7)}$ is the graph of f(x) shifted 7 units to the right

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If the length of a paddock is 2m more than its width and the area is 48m^2, find the length and width of the paddock.

qaws [65]

<h3>♫ :::::::::::::::::::::::::::::: // Hello There ! // :::::::::::::::::::::::::::::: ♫</h3>

➷ Let the width be 'x' and the length be 'x + 2'

Area = l x w

Substitute the values in:

48 = x(x + 2)

48 = x^2 + 2x

Use trial and error [it'll only take a few turns] to get the value for x

x = 6

x + 2 = 8

Thus, the length of the paddock is 8m and the width is 6m.

➶ Hope This Helps You!

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Find The equation of the line perpendicular to negative 8X plus 3Y equals -7 and passing through (1,6)

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Answer:

$Slope, m=\frac{2}{3}$

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Step-by-step explanation:

The question is not stated.

Possible questions could be

What is the slope?
What is the line equation?

So, I'll answer the above general questions

The given points are:

$(x_1,y_1) = (3,2)$

$(x_2,y_2) = (6,4)$

$(x_3,y_3) = (9,6)$

The slope is calculated using:

$m=\frac{y_2 - y_1}{x_2 - x_1}$

This gives:

$m=\frac{4-2}{6-3}$

$m=\frac{2}{3}$

The line equation is calculated using:

$y - y_3 = m(x - x_3)$

This gives:

$y - 6 = \frac{2}{3}(x - 9)$

Open bracket

$y - 6 = \frac{2}{3}x - \frac{2}{3} * 9$

$y - 6 = \frac{2}{3}x - 2*3$

$y - 6 = \frac{2}{3}x - 6$

Add 6 to both sides

$y - 6+6 = \frac{2}{3}x - 6+6$

$y = \frac{2}{3}x$

7 0

3 years ago

In which direction must the graph of f(x)=2^x be shifted to produce the graph of g(x)=2 (x-7)?​

In which direction must the graph of f(x)=2^x be shifted to produce the graph of g(x)=2 (x-7)?