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3 years ago

Please help

Mathematics

2 answers:

IRISSAK [1]3 years ago

8 0

Answer:

$f(x)=5(2^x)$

A is the correct option.

Step-by-step explanation:

We have been given the parent function $f(x)=2^x$

We have the transformation rule:

Rule: If the parent function y =f(x) is stretched vertically by a factor 'k' then the equation becomes y=kf(x).

Here, the exponential function $f(x)=2^x$ vertically stretched by a factor 5, hence, k = 5.

Therefore, the equation for the new function is

$f(x)=5(2^x)$

A is the correct option.

IRISSAK [1]3 years ago

7 0

A vertical stretch of f(x) by a scale factor of a is
g(x)=a f(x)

For $f(x)=2^x$ , and a=5
the vertically stretched function is then
$g(x)=a f(x)=5*2^x$

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KatRina [158]

Answer: Choice C

Vertex = (5, -2)

===============================================

Explanation:

Vertex form is $y = a(x-h)^2 + k$ where the vertex itself is located at (h,k)

As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.

In the case of choice C, we have $y= \frac{1}{2}(x-5)^2 - 2$ which is the same as $y = \frac{1}{2}(x-5)^2 + (-2)$ and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)

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2 years ago

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Answer:

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Step-by-step explanation:

Here, we want to write the algebraic statements as expressions;

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9-xy

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2 years ago

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2 years ago

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Answer:

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Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

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Then, the confidence interval can be calculated as:

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