Write an equation that represents a vertical translation 7 units down of the graph g(x)=|x|

Mathematics

1 answer:

natulia [17]4 years ago

6 0

Answer:

f(x) = |x| - 7

Step-by-step explanation:

The given equation is g(x) = |x|......... (1)

The vertical translation by 7 units down will not change the value of x, the only change will be in the value of g(x).

The vertical translation by 7 units down will change the value of g(x) by [g(x) + 7] in the left-hand side of the equation (1).

Therefore, the equation will become g(x) + 7 = |x|

⇒ g(x) = |x| - 7.

Otherwise we can represent the function as some other name say f(x).

So, f(x) = |x| - 7. (Answer)

You might be interested in

<img src="https://tex.z-dn.net/?f=5%20%5Cdiv%202%20%5Csqrt%7B2%7D%20" id="TexFormula1" title="5 \div 2 \sqrt{2} " alt="5 \div 2

Rufina [12.5K]

$\dfrac{5}{2 \sqrt{2} }$

it's the only ans then possible ! ^•,,,•^

7 0

2 years ago

Read 2 more answers

1/3 cup of flour is used to make 5 dinner rolls.

Radda [10]

Divide.

1/3 / 5

Or multiply by the reciprocal of 5:

1/3 * 1/5 = 1/15

Therefore 1/15 cup of flour is used to make 1 dinner roll.

We can set up a proportion:

5/1/3 = x/5 2/3

Multiply 5 2/3 to both sides:

28 1/3 / 1/3 = x

85 = x

So 85 rolls can be made with 5 2/3 cups of flour.

3 0

3 years ago

Read 2 more answers

The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to

Anon25 [30]

Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$