Table of Contents
- 1 How can you tell how many times a parabola crosses the x-axis?
- 2 How many points does the graph intersect the x-axis?
- 3 How do you find the x-intercept of a line that passes through two points?
- 4 How many times does the graph cross the x-axis?
- 5 Does Y 2 X intersect the x-axis?
- 6 What is the X-intercept of the graph of the function f/x )= x 2 16x 64?
- 7 How do you find the x intercept of a graph?
- 8 Can the graph intersect the x-axis an infinite number of times?
How can you tell how many times a parabola crosses the x-axis?
If the vertex lies below the x-axis (yvertex < 0) and the parabola opens downward (a < 0), then the parabola has no x-intercepts. If the vertex lies on the x-axis (yvertex=0), then the parabola has exactly one x-intercept and it’s the vertex. For all other cases, the parabola will have two x-intercepts.
How many points does the graph intersect the x-axis?
For each row, the y- coordinate of the point where the line crosses the x- axis is zero. The point where the line crosses the x- axis has the form (a,0) ; and is called the x-intercept of the line….Intercepts of a Line.
| Figure: | The line crosses the x-axis at: | Ordered pair of this point |
|---|---|---|
| 45 | 0 | (0,0) |
How do you find where a line crosses the x-axis?
To find the x-intercept of a line, substitute 0 for y into the equation and solve for x. To find the y-intercept of a line, substitute 0 for x into the equation and solve for y. You can use the intercepts to graph the line. The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6.
How do you find the x-intercept of a line that passes through two points?
Put the value of the slope in the expression of the line i.e. y = mx + c. Now find the value of c using the values of any of the given points in the equation y = mx + c. To find the x-intercept, put y = 0 in y = mx + c. To find the y-intercept, put x = 0 in y = mx + c.
How many times does the graph cross the x-axis?
The function crosses the axis (up to) the same number of times as the power of that value. In this graph x is squared so the line crosses the x-axis up to two times.
What is the X-intercept of the graph of the function f/x x2 − 16x 64?
8
The x-intercept of the graph of the function f(x) = x2 -16x+64 is 8.
Does Y 2 X intersect the x-axis?
Never intersects x-axis.
What is the X-intercept of the graph of the function f/x )= x 2 16x 64?
How do you graph x and y intercepts?
Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.
How do you find the x intercept of a graph?
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation y = 3 x − 1 \displaystyle y=3x – 1 y=3x−1. To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
Can the graph intersect the x-axis an infinite number of times?
Graphically, where the line crosses the x -axis, is called a zero, or root. If the horizontal line overlaps the x -axis, (goes through the y -axis at zero) then there are infinitely many zeros, since the line intersects the x -axis multiple times.