What does cuts the X axis mean?

To find the position of a graph we find where the graph cuts the x-axis and the y-axis. When a graph cuts the y-axis its x-coordinate is 0. We substitute the value of the x-coordinate, 0, into the equation to find its y-coordinate and hence the point. When the graph cuts the x-axis its y-coordinate is 0.

How do you know if a function cuts the X axis?

If the graph touches the x-axis and bounces off of the axis, it is a zero with even multiplicity. If the graph crosses the x-axis at a zero, it is a zero with odd multiplicity.

What does that mean if the does not cross the X axis in a quadratic equation?

parabola
If the discriminant of a quadratic function is less than zero, that function has no real roots, and the parabola it represents does not intersect the x-axis.

What does it mean when a quadratic function only has one zero?

When the discriminant is positive, it will have both a positive and negative square root. As indicated by the plus or minus sign, this will result in two zeros. When the discriminant equals 0, there will be only one zero, and when it’s negative, there will be no zeros.

At what point the graph of the linear equation cuts the y axis?

Hence, at the point (0, 2), the given linear equation cuts the Y-axis.

What is graph of quadratic equation?

The graph of a quadratic function is a U-shaped curve called a parabola. The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex. The x-intercepts are the points at which the parabola crosses the x-axis.

At what point does the graph of linear equation 2x 5y 10 cut the Y-axis?

The graph of 2x+5y=10 cuts the x-axis at the point where y=0, i.e., at the point (5,0).

Which of the following is not a quadratic equation * 1 point?

⇒ 4 x = 11 Thus, x2 + 4x = 11 + x2 is not a quadratic equation.

How do you find the axis of symmetry on a graph?

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .