What is the slope of the line in the graph?
1 answer:
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Answer:
A. G(x) = (x -3)^3 -(x -3)
Step-by-step explanation:
The graph before it was shifted left will be a right-shift of the equation shown. That is accomplished by replacing x with (x-1.5). Then the right-shifted equation is ...
G(x) = ((x-1.5) -1.5)^3 -((x -1.5) -1.5)
G(x) = (x -3)^3 -(x -3) . . . . matches choice A
The vertex is the minimum or the maximum point of the parabola.
<em>x and f(x) represent the horizontal and the vertical coordinates of the vertex.</em>
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The standard form of a parabola is
The x coordinate of the parabola is calculated using:
The value of the x-coordinate is then plugged in, into the equation to calculate the y-coordinate, as follows:
At the end of the calculation,
x and f(x) represent the horizontal and the vertical coordinates of the vertex.
Take for instance:
The x-coordinate of the vertex is:
The y-coordinate is:
So, the vertex of is (-1,11)
See attachment for illustration of vertex of
Read more about vertex of parabola at:
