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:
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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