Cuts through the y axis at: (0, -12)
Cuts through the x axis at: (-3, 0) and (4, 0)
It is 8*sqrt(2)/3 = 3.7712 approx.
They touch each other at (0, 100) on the x and y axis.
The solutions to a quadratic equation on a graph are the two points that cross the x-axis. NB A graphed quadratic equ'n produces a parabolic curve. If the curve crosses the x-axis in two different points it has two solution. If the quadratic curve just touches the x-axis , there is only ONE solution. It the quadratic curve does NOT touch the x-axis , then there are NO solutions. NNB In a quadratic equation, if the 'x^(2)' value is positive, then it produces a 'bowl' shaped curve. Conversely, if the 'x^(2)' value is negative, then it produces a 'umbrella' shaped curve.
If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a circle.
y=6x² is already solved. the parabola will touch the x-axis at x=0.
It is 8*sqrt(2)/3 = 3.7712 approx.
They touch each other at (0, 100) on the x and y axis.
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If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a circle.
y=0. note. this is a very strange "curve". If y=0 then any value of x satisfies the equation, leading to a curve straight along the y axis. For any non-zero value of y the curve simplifies to y = -x. The curve is not differentiable at the origin.
The solutions to a quadratic equation on a graph are the two points that cross the x-axis. NB A graphed quadratic equ'n produces a parabolic curve. If the curve crosses the x-axis in two different points it has two solution. If the quadratic curve just touches the x-axis , there is only ONE solution. It the quadratic curve does NOT touch the x-axis , then there are NO solutions. NNB In a quadratic equation, if the 'x^(2)' value is positive, then it produces a 'bowl' shaped curve. Conversely, if the 'x^(2)' value is negative, then it produces a 'umbrella' shaped curve.
If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a circle.
y=6x² is already solved. the parabola will touch the x-axis at x=0.
The difference is the Y- axis. In the case of the Demand curve the Y - axis is the retail price of the good. On the Engel's curve the Y -axis is the amount of income over a set period of time.
The location where the curve in question crosses the y-axis.
The solution comprises every point on a parabola which is symmetric about the y axis and has its apex at (0,1).
y=x2+2x+1 -b -2 2a= 2= -1 = axis of symmetry is negative one.