Answer:
8 is your answer.
Step-by-step explanation:
8 x 3/4 = 6
This graph has its maximum at 4. There is no minimum while the inflection is at 2, 10/3.
<h3>How to solve for the maximum of the graph</h3>
We have ( x-2²) (x-4)
x-2²) = 0, or x - 4
x - 2 = 0, x = 2
Hence we can see that the graph has its minimum at x = 4
b. The graph here does not have a local maximum
<h3>c. Next we have to find the point of inflection</h3>
To do this you have to differentiate the equation
Use the product rule of differentiation in order to solve for the solution.
(x-2)²[ (x-4) 2 (x-2)]
This would then give us
x -2, 3x -10
In both equations we have to make x the subject of the equation
X = 2, x = 10/3
Hence the point of inflection is 2 and 10/3
Read more on minimum and maximum points here:
brainly.com/question/12120831
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The match is shown in the picture for the function of a parabola and the graph of a parabola.
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
As we know the standard form of the parabola is:
y = a(x - h)² + k
If a > 0 (parabola opens upwards)
If a < 0 (parabola opens downwards)
or
x = a(y - h)² + k
If a > 0 (parabola opens right side)
If a < 0 (parabola opens left side)
Here (h, k) is the vertex of the parabola and a is the leading term.
Thus, the match is shown in the picture for the function of a parabola and the graph of a parabola.
Learn more about the parabola here:
brainly.com/question/8708520
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Answer:
See below.
Step-by-step explanation:
The vertex is the lowest point of the parabola.
The vertex is (-2, 1).
The x-intercepts are the points at which the parabola intersects the x-axis. This parabola does not intersect the x-axis, so there are no x-intercepts.
The y-intercept is the point at which the parabola intersects the y-axis.
This y-intercept is (0, 2).
Answer:
yes it is!!
Step-by-step explanation: