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2 years ago

Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched horizontally by a factor of 3.

Mathematics

2 answers:

Anni [7]2 years ago

4 0

Answer:

g(x) = |1/3x|

Step-by-step explanation:

f(x) = |x|

y = f(Cx) 0 < C < 1 stretches it in the x-direction

g(x) = |1/3x|

Ainat [17]2 years ago

4 0

We can start with: f(x) = |x|

0 < c < 1 means x-direction stretch

y = f(cx)

3 unit horizontal stretch

After: g(x) = |1/3x|

Best of Luck!

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PLEASE HELP NOW!<br> (-2, -4) and (-3, -3) in a linear equation

chubhunter [2.5K]

The linear equation is y = -x - 6

Step-by-step explanation:

To form a linear equation from two points lie on the line which the equation represented it

Find the slope of the line by using the formula $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Then use the slope-intercept form of the equation y = m x + b
To find the value of b substitute x and y of the equation by the coordinates of one of the two given points

∵ Points (-2 , -4) and (-3 , -3) lie on the line

∴ $x_{1}$ = -2 and $x_{2}$ = -3

∴ $y_{1}$ = -4 and $y_{2}$ = -3

- Substitute these values in the formula of the slope

∵ $m=\frac{-3-(-4)}{-3-(-2)}=\frac{-3+4}{-3+2}=\frac{1}{-1}$

∴ m = -1

∵ The form of the equation is y = m x + b

∵ m = -1

∴ y = (-1) x + b

∴ y = -x + b

To find b substitute x and y in the equation by the coordinates of

point (-2 , -4) OR (-3 , -3)

∵ x = -3 and y = -3

∴ -3 = -(-3) + b

∴ -3 = 3 + b

- Subtract 3 from both sides

∴ -6 = b

∴ The equation is y = -x + (-6)

∴ y = -x - 6

The linear equation is y = -x - 6

Learn more:

You can learn more about linear equation in brainly.com/question/4326955

#LearnwithBrainly

4 0

3 years ago

Solve the system with elimination 4x+3y=1 -3x-6y=3

Nuetrik [128]

Answer:

x = 1, y = -1

Step-by-step explanation:

If we have the two equations:

$4x+3y=1$ and $-3x - 6y = 3$ , we can look at which variable will be easiest to eliminate.

$y$ looks like it might be easy to get rid of, we just have to multiply $4x+3y=1$ by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation $4x+3y=1$ by 2.

$2(4x + 3y = 1)\\8x + 6y = 2$

Now we can add these equations

$8x + 6y = 2\\-3x-6y=3\\$

------------------------

$5x = 5$

Dividing both sides by 5, we get $x = 1$ .

Now we can substitute x into an equation to find y.

$4(1) + 3y = 1\\4 + 3y = 1\\3y = -3\\y = -1$

Hope this helped!

5 0

2 years ago

a rhombus can be cut in half by a diagonal to make two isosceles triangle correct or incorrect if incorrect give an example to s

Nataly [62]

The definition of a rhombus is that it's a polygon with four congruent sides. If you split one into two pieces with a diagonal, then yes, it will be two isosceles triangles because two sides are congruent.

7 0

2 years ago

Are the data shown in the line plot skewed left, skewed right, or not skewed?

kkurt [141]

I think it is skewed to the left. A

7 0

2 years ago

What is the value of log Subscript 6 Baseline StartFraction 1 Over 36 EndFraction?

loris [4]

Answer:

-2

Step-by-step explanation:

Let x be the unknown value

Log₆ ( 1/36) = x

( 1/36) = 36⁻¹ = (6²)⁻¹ = 6⁻²

Log₆ ( 1/36) = Log₆ 6⁻² = -2 Log₆ 6

Log₆ 6 = 1

-2 Log₆ 6 = -2(1) = -2

4 0

2 years ago

Read 2 more answers