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GalinKa [24]
3 years ago
5

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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Underline all the ordered pairs (x,y) that are solutions to the equation y=2x+1.
Romashka [77]

Answer:

<u>(3,7)</u> (7,3) (−1,14) <u>(0,1)</u> <u>(12,25)</u>

<u>(5,11)</u> (0,12) (1,8) (12,0) <u>(−1,−1)</u>

Step-by-step explanation:

We have the following function:

y = 2x+1.

We are going to check if each ordered pair is a solution.

(3,7)

If when x = 3, y = 7, it is a solution.

y = 2x + 1 = 2(3) + 1 = 7

This ordered pair is a solution.

(7,3)

If when x = 7, y = 3, it is a solution.

y = 2x + 1 = 2(7) + 1 = 15

This ordered pair is not a solution.

(-1,14)

If when x = -1, y = 14, it is a solution.

y = 2x + 1 = 2(-1) + 1 = -1

This ordered pair is not a solution.

(0,1)

If when x = 0, y = 1, it is a solution.

y = 2x + 1 = 2(0) + 1 = 1

This ordered pair is a solution.

(12,25)

If when x = 12, y = 25, it is a solution.

y = 2x + 1 = 2(12) + 1 = 25

This ordered pair is a solution.

(5,11)

If when x = 5, y = 11, it is a solution.

y = 2x + 1 = 2(5) + 1 = 11

This ordered pair is a solution.

(0,12)

If when x = 0, y = 12, it is a solution.

y = 2x + 1 = 2(0) + 1 = 1

This ordered pair is not a solution.

(1,8)

If when x = 1, y = 8, it is a solution.

y = 2x + 1 = 2(1) + 1 = 3

This ordered pair is not a solution.

(12,0)

If when x = 12, y = 0, it is a solution.

y = 2x + 1 = 2(12) + 1 = 25

This ordered pair is not a solution.

(-1,-1)

If when x = -1, y = -1, it is a solution.

y = 2x + 1 = 2(-1) + 1 = -1

This ordered pair is a solution.

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3 years ago
If a company has five employees with annual salaries of $60,000, $70,000, $60,000, $90,000, and $80,000, respectively, what is t
Vanyuwa [196]

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AysviL [449]

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Step-by-step explanation:

Given

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8 0
3 years ago
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galben [10]

Answer:

The answer is B. 1

Step-by-step explanation:

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4 0
3 years ago
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zhuklara [117]

Answer:

y = - 5x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Here m = - 5 and b = 7, thus

y = - 5x + 7 ← equation of line

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3 years ago
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