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sladkih [1.3K]
3 years ago
11

What is the affect on the graph of the linear parent function f(x) equals X when FX is replaced by FX +3

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

The graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

Step-by-step explanation:

We know that when we add a constant to the input of the parent function, we get a horizontal shift.

The direction of shifting depends upon the value of the added constantly. If the added constant is negative, the shift of the graph will be left and if the added constant is positive, the shift of the graph will be right.

For example, consider the function

f(x)

so adding 3 in the put i.e. f(x+3) would be a change on the inside of the function, giving a horizontal shift left by 3.

Therefore, the graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

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How many x intercepts does the graph of y =|x-2|+12
WARRIOR [948]

Answer:

The graph not have x-intercepts

Step-by-step explanation:

we know that

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

we have

y=\left|x-2\right|+12

This is the equation of an absolute value in vertex form open upward

The vertex is the point (2,12)

The y-coordinate of the vertex is above the x-axis and the graph open upward

That means ----> The graph do not intersect the x-axis

therefore

The graph not have x-intercepts

<u><em>Verify</em></u>

For y=0

substitute in the equation

0=\left|x-2\right|+12

\left|x-2\right|=-12 ----> is not true

The left side of the equation cannot be a negative number

so

The equation not have solution for y=0

therefore

The graph not have x-intercepts

see the attached figure to better understand the problem

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3 years ago
Change each to an Improper Fraction
zloy xaker [14]

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31/7

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Step-by-step explanation:

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1 year ago
What is the solution for the system of equations 6x + 3y = 15 ? 8x + 4y = 20​
Sedaia [141]

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point form: (5/2, 0)

equation form: 5/2, y=0

Step-by-step explanation:

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A cable is 9.5 m long. How long is the cable in decimeters
elena-s [515]

Answer:95

Step-by-step explanation:

trust

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Ashlee buys a car for 18,995. The car depreciates (loses value( at a rate of 18% annually. Determine the value of the car after
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Answer:

5774.61

Step-by-step explanation:

The method to calculate car value use :

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P(x)= 18,995 ( 1 - 0.18 )^6

= 5774.60672

Round to nearest hundreds:

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