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The graph shown below expresses a radical function that can be written in the form f(x) = a(x + k)^1/n + c. What does the graph tell you about the value of a in this function?

Respuesta :

arilynne110

Answer:

Graphs can be used to represent functions

The value of a is less than 0.

The function is given as:

The parent function of f(x) is:

So, by comparison:

The function becomes:

Next, we identify the vertex (in this case, the vertex is the minimum point on the graph)

So, we have:

Substitute these values in

So, the function becomes

From the graph, we have the following point;

So, the function becomes

Subtract 2 from both sides

Square both sides

Divide both sides by -9

So, we have:

-1 is less than 0.

Hence, the value of a is less than 0.

Step-by-step explanation:

snehashish65

Answer:

The value of a in this function is 0

Step-by-step explanation:

The given function is

[tex]f(x) = a(x + k)^\frac{1}{n} + c.[/tex]

Here , f(x) is y = [tex]x^{\frac{1}{2} }[/tex] So , n = 2.

By substituting the value we get the function :

[tex]f(x) = a(x + k)^\frac{1}{2} + c.[/tex]

The vertex of the graphs are : (k, c) = (-5 ,2)

The function becomes:

[tex]f(x) = a(x + 5)^\frac{1}{2} + 2[/tex]

The following point on the graph shows : (x, y) = (-4 , 5)

The function becomes:

[tex]5 = a(-4+ 5)^\frac{1}{2} + 2\\5 = a(-9)^\frac{1}{2} + 2\\\\\3 = a(-9)^{\frac{1}{2} }(Subtract 2 from both side )\\\\9 = a (-9) ( Square both sides) \\\\-1 =a ( Divide both side by -9)\\[/tex]

a = -1

Here , -1 is less than zero

Hence , the value of a is less than o.

For more function related doubts visit:https://brainly.com/question/9834848

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