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3 years ago

If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function

Mathematics

1 answer:

Naddik [55]3 years ago

7 0

Answer:

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

$f(x) = \sqrt{x}$

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

$\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}$

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

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The vertex of the graph of f(x) = |x - 3| +6 is located at<br> Done<br> Intro

Igoryamba

Answer:

The vertex of the graph is located at the point (3,6)

Step-by-step explanation:

Here, we want to know where the vertex of the equation if plotted will be

To get this, what we have to do is to equate the expression that we have in the absolute value to zero

After this, we then proceed to solve for the value of x

We have this as;

x -3 = 0

hence;

x = 0 + 3

x = 3

to get the y-value of the vertex, we look at the value at the side of the absolute value

This value is 6 and thus, the y-value of the vertex point is 6

So the coordinates of the vertex is (3,6)

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3 years ago

The perimeter of a rectangular painting is 262 centimeters. If the width of the painting is 59 centimeters, what is its length?

Liula [17]

The formula of the perimeter of a rectangle is 2l+2w so look at the photo

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3 years ago

Why was I wrong why is this right

shutvik [7]

Answer:

Idk?

Step-by-step explanation:

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3 years ago

How many 10-digit ternary strings are there that contain exactly two 0s, three 1s, and five 2s?

Svet_ta [14]

There are $\dbinom{10}2$ ways of picking 2 of the 10 available positions for a 0. 8 positions remain.

There are $\dbinom83$ ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's $\dbinom55=1$ way of doing that.

So we have

$\dbinom{10}2\dbinom83\dbinom55=\dfrac{10!}{2!(10-2)!}\dfrac{8!}{3!(8-3)!}\dfrac{5!}{5!(5-5)!}=2520$

The last expression has a more compact form in terms of the so-called multinomial coefficient,

$\dbinom{10}{2,3,5}=\dfrac{10!}{2!3!5!}=2520$

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3 years ago

Compare -5/6 _ -3/7 choose from 1) > 2)

vfiekz [6]

Answer

1)<2) please put 5 stars

Step-by-step explanation

First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.

6*x=42. x=7 5*7=35. -35/42 is the first fraction.

7*y=42 y=6 3*6=18. -18/42 is the second fraction.

-35/42 would be bigger but since it is negative, it is smaller.

8 0

3 years ago

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