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spayn [35]
3 years ago
13

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x| - 4?

Mathematics
2 answers:
jenyasd209 [6]3 years ago
4 0
The answer is that it goes 4 units down, i hope this helped :D
KATRIN_1 [288]3 years ago
3 0

Answer:

4 units down

Step-by-step explanation:

Translations are transformations that change the position of the graph of a function. The general form of the graph of a function is moved up, down, right or left

Given a function:

y=f(x)

A vertical translation can be expressed as:

y=f(x)+c=Vertical\hspace{3}translation\hspace{3}c\hspace{3}units\hspace{3}up\\y=f(x)-c=Vertical\hspace{3}translation\hspace{3}c\hspace{3}units\hspace{3}down

Where:

c=constant>0

So:

y=|x|-4

It's a vertical translation 4 units down. You can corroborate checking the picture I attached you and evaluating the function at x=0

y(0)=|0|-4=-4

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Factor each.<br><br><br> Please help!
Naddika [18.5K]

Answer:

1) The factors of  x^2-3x+2=0 are \mathbf{(x-1)(x-2)=0}

Option C is correct.

3) The factors of  x^2+2x-8=0 are \mathbf{(x-2)(x+4)=0}

Option B is correct.

Step-by-step explanation:

1) Factor : x^2-3x+2=0

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : -3x

We can break them as (-2x)( -x)

Solving:

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So, factors of  x^2-3x+2=0 are \mathbf{(x-1)(x-2)=0}

Option C is correct.

3) Factor: x^2+2x-8=0

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : 2x

We can break them as (4x)( -2x)

Solving

x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x-2)(x+4)=0

So, factors of  x^2+2x-8=0 are \mathbf{(x-2)(x+4)=0}

Option B is correct.

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