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3 years ago

Suppose that F(x) = x^2 and G(x) = 2/3x^2. Which statement best compares the graph of G(x) with the graph of F(x)?

Mathematics

2 answers:

Oksanka [162]3 years ago

7 0

Multiplying a function by a number that when squared is less than one, compresses the graph vertically by a factor equal to the coefficient.

In this case (2/3)^2=4/9 and 4/9<1 so the graph of G(x) is the graph of F(x) compressed vertically.

skelet666 [1.2K]3 years ago

5 0

Answer:

The statement which best compares the function F(x) and G(x) is that the graph of G(x) is the graph of F(x) stretched vertically.

Step-by-step explanation:

Since the difference between the two functions is in the coefficent which multiplies the square function, 1 and 2/3 respectively in F(x) and G(x). So, as the coefficient are positive and is minor for G(x) than for F(x), the values for G(x) will be smaller and thus the graph of G(x) would be below the graph of F(x). Therefore the graph for G(x) is it compressed vertically respect to F(x). The explanation here is ore understandable by looking at the illustration attached.

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Identify which of the twelve basic functions listed below fit the description given. The three functions that are bounded above.

Irina18 [472]

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SIZIF [17.4K]

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An engineer is designing an arch-shaped gate for the entrance to an amusement park. The gate must be 80 feet wide and 25 feet ta

Tom [10]

1) the form of the equation may be written as y = A(X - Xo)(X - X1)

Where Xo and X1 are the two roots of the equation.

2) We can fix the system of coordinates so that the vertex is in the middle of the gate => Xo = - 40 and X1 = +40

=> y = A (X + 40) (X - 40) = A (X^2 - 1600)

3) The height, at X = 0 is 25

=> A(0 - 1600) = 25

=> -1600A = 25 => A = -25 / 1600 = - 1/64

4) The equation is y = - [1/64] (X^2 - 1600)

5) You can present it in different equivalent forms.

Some of those other forms are:

1) - 64y = (x^2 - 1600)

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4 0

3 years ago

Citizens less than 18 years old are not allowed to vote define a variable and write an inequality for the ages of citizens who a

Marrrta [24]

Answer:

$x < 18$

Step-by-step explanation:

We are given the following information in the question:

"Citizens less than 18 years old are not allowed to vote"

We define a variable x such that x represents the age of citizens.

We have to write a relationship with the help of an inequality for the ages of citizens who are not allowed to vote.

Citizens less than 18 are not allowed to vote.

So x should be less than 18.

This can be written as:

$x < 18$

is the required inequality for the ages of citizens who are not allowed to vote.

8 0

3 years ago