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3 years ago

Find the vertex of the graph of the function. f(x) = 3x2 - 24x + 51

2 answers:

4 0

$\bf \qquad \qquad \textit{vertex of a parabola}\\\quad \\\begin{array}{llccll}
f(x)=&3x^2&-24x&+51\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

777dan777 [17]3 years ago

3 0

The vertex is x=4. You're welcome.

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Read 2 more answers

Y=x-5; domain = {4,6,8}

Lostsunrise [7]

Answer:

Range = {-1, 1, 3}

Step-by-step explanation:

<u><em>The question asks for the range.</em></u>

The function given is

$y=x-5$

The domain is the set of 3 numbers:

Domain = {4,6,8}

We need to find the range.

First, the range is the set of all y-values for which the function is defined.

When we will be given the domain with a set of numbers, the range would be the numbers that we get when we evaluate the the function at those numbers.

So, we evaluate the function (y-values) at x = 4,6, and 8.

At x = 4:

$y=x-5\\y=4-5\\y=-1$

At x = 6:

$y=x-5\\y=6-5\\y=1$

At x = 8:

$y=x-5\\y=8-5\\y=3$

Thus, the range is:

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3 years ago

Domain and range of graphs

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Step-by-step explanation:

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