The axis of symmetry is the fold line that splits the parabola down the middle.
Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.
So if we know the axis of symmetry is x = 3 and one of our points
has the coordinates (5, 0), the other point will have the coordinates (3, 0).
The axis of symmetry is always halfway between the x-intercepts.
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<h2><u>hope</u><u> it</u><u> helps</u></h2>
In a geometric sequence dividing any term by the term before it yields the common multiplier.
Then x/(x+8) = (3x-8)/x
Solving for x: reduces to x^2-10x +16 factor into (x-2)(x-8)
Then x = 2 or 8
2 produces a sequence of -2, 2, -2 ...
8 produces a sequence of 4, 8, 16 ...
To find the linear equation, use the slope formula y = mx+b, where b is the value of the y-intercept and m is rise/run.
The line rises 1 unit and runs (left to right) -5 units. (you could also say the line runs -1 units and runs 5 units, they will both give the same answer). Rise/run, 1/-5 = -1/5.
The y-intercept is the y value where the line touches the y-axis. In this case, it is +1.
Plug the information into the equation. m = -1/5 and y = 1. y = -1/5x + 1
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