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3 years ago

Suppose f(x) = x2 and g(x) = (4x)2. Which statement best compares the graph of g(x) with the graph of f(x)?

Mathematics

2 answers:

Paha777 [63]3 years ago

4 0

Answer:

Option C

Step-by-step explanation:

Given: Functions $f(x) = x^2$ and $g(x)=(4x)^2$

Now, if we compare the both equation we get,

$g(x) = 4f(x)$ as $g(x) = 4(4x^2)=16x^2=(4x)^2=f(x)$

This means that the value of g(x) is 4 times the value of f(x). So the graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.

The graph shown below confirms the conclusion.

Therefore, Option C is correct.

The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.

kondaur [170]3 years ago

3 0

Answer: A P E X - the graph of g(x) is horizontally compressed by a factor of 4.

Step-by-step explanation:

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2 years ago

Read 2 more answers

Find two geometric means between 5 and 135

aniked [119]

Answer:

We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.

This sequence has common ratio 3√1355=3, hence a=15 and b=45

Explanation:

In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.

So we want to find a and b such that 5, a, b, 135 is a geometric sequence.

If the common ratio is r then:

a=5rb=ar=5r2135=br=5r3

Hence r3=1355=27, so r=3√27=3

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3 years ago

The vertex of this parabola is at (-4,-1). When the y-value is 0, the xvalue is 2

yaroslaw [1]

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3 years ago

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storchak [24]

So the first integer is 61.

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3 years ago

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Vedmedyk [2.9K]

Answer:

Step-by-step explanation: