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viktelen [127]
3 years ago
12

\begin{aligned} f(x)&=|x| \\\\ g(x)&=|x | + 1 \end{aligned} f(x) g(x) ​ =∣x∣ =∣x∣+1 ​ We can think of ggg as a translate

d (shifted) version of fff. Complete the description of the transformation. Use nonnegative numbers. To get the function ggg, shift fff by units.
Mathematics
1 answer:
Tema [17]3 years ago
7 0

Answer:

To get the function g, shift f by 1 unit.

Step-by-step explanation:

Given

\begin{aligned} f(x)&;=|x| \\ g(x)&;=|x | + 1 \end{aligned}

Required

How do f(x) translates to g(x)

In terms of f(x), g(x) can be represented as:

g(x) = f(x) + k

Where

f(x)= |x|

and

k = 1

<em>This implies that f(x) is vertically shifted 1 unit up to get g(x)</em>

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Need Help !!!!!!!!!!!!
nika2105 [10]

Answer:

C

Step-by-step explanation:

The slope m of the functions give the measure of the rate of change.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

g(x) = \frac{5}{2} x - 3 ← is in slope- intercept form

with slope m = \frac{5}{2} = 2.5

Calculate the slope of f(x) using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 3.5) and (x₂, y₂ ) = (1, - 1) ← 2 points from the table

m = \frac{-1+3.5}{1-0} = 2.5

Hence

The slopes of g(x) and f(x) are both m = 2.5, thus

The functions increase at the same rate → C

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3 years ago
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Step-by-step explanation:

2x - 10 + 4x + 16 = 180 \\  \\ 4x - 2x + 16 + 10 = 180 \\  \\ 2x = 180 - 26 \\  \\ 2x = 154 \\  \\ x =  \frac{154}{2}  \\  \\ x = 77

4 0
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Answer:

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