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Liono4ka [1.6K]
3 years ago
9

Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x) − 3?

Mathematics
2 answers:
DedPeter [7]3 years ago
5 0

For this case we have that the main function is given by:

f (x) = x ^ 3

We apply the following transformation:

Vertical displacements:

Assume k> 0

To graph y = f (x) - k, move the graph k units down.

For k = 3 we have:

y = f (x) - 3\\y = x ^ 3 - 3

Answer:

when the function is changed to f (x) - 3 the change that will occur is:

Vertical displacement 3 units down.

Serjik [45]3 years ago
3 0
The function line will move down 3 units.
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6 0
3 years ago
Need help on this math question!!!
gavmur [86]

Answer:

s = 10w

Step-by-step explanation:

We can find the equation in <u>slope-intercept form</u> which is y = mx + b. The variables mean:

"b" - for the y-intercept (where the graph hits the y-axis)

"m" - for the slope (how steep the line is)

"x" and "y" - coordinates that satisfy the equation (points on the line)

From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.

To find the slope, "m", use the equation  m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}. To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.

Point 1 (0, 0)      x₁ = 0   y₁ = 0

Point 2 (1, 10)     x₂ = 1   y₂ = 10

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}          Substitute values

m = \frac{10-0}{1-0}          Subtract to simplify

m = \frac{10}{1}          Simplify the fraction

m = 10            Slope of the line

Since we know "m" and "b", we can write the equation:

y = mx + b

y = 10x + 0

y = 10x

We are not using "x" and "y" in this case. Change them according to the question.

x => w

y => s

y = 10x   =>   s = 10w

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3 years ago
Is that correct ????
Travka [436]
Yes I believe it is :)
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Read the excerpt from The Land.
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From the conversation it can be inferred that Paul's approach to getting on the horse is methodical (option c).

<h3>What is methodical behavior?</h3>

A methodical attitude or behavior refers to the preference of people to use an organized method and sequences to perform an activity correctly.

According to the above, it can be inferred that Paul behaves in a methodical manner because he prefers to relate to the horse slowly and in a controlled manner before proceeding to mount it.

Learn more about methodical in: brainly.com/question/14560322

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2 years ago
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Answer:

Step-by-step explanation:

let 7 + 3√2 be an rational number where

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Now ,from equation (i) ,we get that √2 is rational but we know that √2 is irrational. so actually 7 + 3√2 is irrational not rational. thus our assumption is wrong. The number is irrational.

5 0
3 years ago
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