No, if the vertex of the parabola is (0, 0) it will only have one x intercept. The parabola might have zero x intercepts as well. For example: Y= x^2 + 1 would never touch the x line.
Quadratic equations always have 2 solutions. The solutions may be 2 real numbers (think of a parabola crossing the x axis at 2 different points) or it could have a "double root" real solution (think of a parabola just touching the x-axis at its vertex), or it can have complex roots (which will be complex conjugates of each other). For the last scenario, the graph of the parabola will not touch the x axis.
It is a parabola which doesn't touch the X-axis. i.e., It has no real roots.
y=6x² is already solved. the parabola will touch the x-axis at x=0.
yes ...all the angles of the triangle must touch a spot on the circle..
1
It is the axis. NOT the directrix which does not even touch the parabola.
No, a circle can never pass through three points of a straight line. The circle will touch 1) no points of the line, 2) one point of the line (which is now tangent to the circle), or 3) two points of the line. A line can contain (at most) twopoints that lie on the line.
How is a circle similar to an ellipse?The eccentricity of a circle is zero.The eccentricity of an ellipse which is not a circle is greater than 0, but less than 1.The eccentricity of a parabola is 1The eccentricity of a hyperbola is greater than 1Definition of eccentrica person with an unusual or odd personalitybizarre: conspicuously or grossly unconventional or unusual;.A circle is the perfect shape, all point are equidistant from the center. I believe we could agree that the circle has no eccentricity!!The eccentricity of a circle is zero..On the other hand the ellipse has points that 2 centers, a little eccentric. The farther the 2 points are apart the more eccentric the ellipse is.If you take any point on the ellipse, the sum of the distances to the focus points is constant. The eccentricity of an ellipse which is not a circle is greater than 0, but less than 1.If you stretch the ellipse too far it will break open and be a parabola. The eccentricity of a Parabolais 1. The parabola just keeps spreading out in both directions. At least it is still symmetrical. It has bottom (vertex),but the top just keeps spreading out.The eccentricity of a parabola is 1The eccentricity of a hyperbola is greater than 1The points on a hyperbola get close to the x-axis and y-axis, but never touch either axis.The eccentricity of a circle is zero. Think about the equation of each of these shapes Circle x^2 + y^2 = r ^2 How beautiful y^2 = r ^2 - x^2The eccentricity of an ellipse which is not a circle is greater than 0, but less than 1.Ellipse Equation(x^2 ÷ a^2) + (y^2 ÷ b^2) = 1Getting more eccentric with those a^2's an b^2'sParabola EquationY = k * x^2Now poor y is not squared The eccentricity of a parabola is 1Hyperbola Equationx * y = constanty = constant ÷ xNow poor x is in the denominator The eccentricity of a hyperbola is greater than 1
No, if the vertex of the parabola is (0, 0) it will only have one x intercept. The parabola might have zero x intercepts as well. For example: Y= x^2 + 1 would never touch the x line.
Is the hexagon within a 16 ft diameter circle (i.e., the points of the hexagon just barely touch the 16 ft circle)? Or, is the 16 ft circle entirely within the hexagon (i.e., within the flat sides)?
Quadratic equations always have 2 solutions. The solutions may be 2 real numbers (think of a parabola crossing the x axis at 2 different points) or it could have a "double root" real solution (think of a parabola just touching the x-axis at its vertex), or it can have complex roots (which will be complex conjugates of each other). For the last scenario, the graph of the parabola will not touch the x axis.
touch the touch the touch screen and an unfilled large circle. In curtain places there will be a small filled in circle. that's an item
It is a parabola which doesn't touch the X-axis. i.e., It has no real roots.
y=6x² is already solved. the parabola will touch the x-axis at x=0.
six points
touch down(6 points)