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3 years ago

Write the function notation for the transformation that would change f(x) to have a vertical

Mathematics

1 answer:

koban [17]3 years ago

6 0

Function is $4 - \frac{f(x)}{8}$ .

<u>Step-by-step explanation:</u>

We have a function notation for the transformation that would change f(x) to have a vertical compression by a factor of $\frac{1}{8}$ , reflection over the x axis, up 6 and right 2.

Vertical compression by a factor $\frac{1}{8}$ , this means decreasing value of function by a factor of $\frac{1}{8}$ . Function becomes $\frac{f(x)}{8}$ .

Reflection over x-axis means rotating f(x) by 180° over origin . Function now is $-\frac{f(x)}{8}$ .

Up 6 , means value of function is increased by 6 , Function now is $\frac{-f(x)}{8} + 6$ .

Right 2, means shifting function to 2 units on right side i,e, on x-axis.

∴Function finally becomes, $\frac{-f(x)}{8} +6 - 2$ which is $4 - \frac{f(x)}{8}$ .

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3 years ago

What is the midpoint and distance between points P(3,5) and Q(7,5)

storchak [24]

The formula of a midpoint:

$M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points P(3, 5) and Q(7, 5). Substitute:

$x=\dfrac{3+7}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{5+5}{2}=\dfrac{10}{2}=5$

$d=\sqrt{(5-5)^2+(7-3)^2}=\sqrt{0^2+4^2}=\sqrt{4^2}=4$

<h3>Answer:</h3><h3>Midpoint = (5, 5)</h3><h3>Distance = 4</h3>

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3 years ago

A random sample of 27 items is drawn from a population whose standard deviation is unknown. The sample mean is x¯ = 940 and the

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Answer:

t value= 99%

Step-by-step explanation:

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3 years ago

Enzel goes online to buy a graphing calculator. He finds a site that currently has a promotion of 15% off on all orders over $50

maw [93]

<h2>Steps</h2>

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Now that we have the discounted price, we must apply the 4.5% sales tax. Since this is going to be an <em>increase by percentage</em>, we will be using this format: