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Q: Where do the parabolas of y equals x squared plus 20x plus 100 and y equals x squared minus 20x plus 100 meet on the x and y axis?

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The form is not specified in the question so it is hard to tell. But two parabolas with different vertices can certainly have the same axis of symmetry.

(X-3)(X-3) Foil that and you will see tha X = 3. This is a parabola that touches the X axis at X = 3.

Draw the graph of negative X squared plus 5 minus X cubed and find the values of x where it intersects the x axis.

Yes, it crosses at (0.23,0) and (1.43,0).

y=6x² is already solved. the parabola will touch the x-axis at x=0.

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the x-axis... obviously! the x-axis... obviously!

The form is not specified in the question so it is hard to tell. But two parabolas with different vertices can certainly have the same axis of symmetry.

(X-3)(X-3) Foil that and you will see tha X = 3. This is a parabola that touches the X axis at X = 3.

Draw the graph of negative X squared plus 5 minus X cubed and find the values of x where it intersects the x axis.

Yes, it crosses at (0.23,0) and (1.43,0).

y=6x² is already solved. the parabola will touch the x-axis at x=0.

It is x^2 - 5 which, if plotted on the x-y plane will be a parabola which is symmetric about the y axis and has its apex at (0, -5) .

its a simple parobola symmetric about y axis, having its vertex at (0,-4). we can make its graph by changing its equation in standard form so that we can get its different standard points like vertex, focus, etc.

Cuts through the y axis at: (0, -12) Cuts through the x axis at: (-3, 0) and (4, 0)

It is a straight line. The line intersects the y-axis at (0, -4); the x-axis at (6, 0) and has a gradient (slope) of 2/3

It is 8*sqrt(2)/3 = 3.7712 approx.

The solution comprises every point on a parabola which is symmetric about the y axis and has its apex at (0,1).

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