Question: Can A Parabola Have No Y-Intercept?

Why can a function only have one Y intercept?

Since the y-axis is a vertical line it crosses the graph at most once — exactly once if 0 is in the domain of the function.

One function can only have 1 y-intercept (unless it’s some wacky combination of other functions) because intercepting y axis means x being 0, for which you get only 1 value out..

Can a parabola have two y intercepts?

Parabolas can have both x-intercepts and y intercepts A parabola can have either 2,1 or zero real x intercepts.

Is C the Y-intercept in a quadratic equation?

The y-intercept of the equation is c. When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.

What is Y-intercept in parabola?

The y -intercept is the point at which the parabola crosses the y -axis. The x -intercepts are the points at which the parabola crosses the x -axis. If they exist, the x -intercepts represent the zeros, or roots, of the quadratic function, the values of x at which y=0 .

Can a polynomial function have no Y-intercept?

The graph of a polynomial function must be smooth and continuous. There can be no gaps or sharp corners in the graph of a polynomial function. If the graph of a polynomial has no y-intercept, then there must be a gap at , therefore the graph of a polynomial function must have a y-intercept.

Where is Y-intercept on graph?

The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis.

What if there is no Y-intercept?

If a line has no y-intercept, that means it never intersects the y-axis, so it must be parallel to the y-axis. This means it is a vertical line, such as . … This slope of this line is zero. A real-life situation of a line that has no y-intercept is the equation of a vertical wall.

How do I find the Y-intercept of a parabola?

To find the y-intercept let x = 0 and solve for y. Step 3: Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form).

How do you find y intercept of a function?

Finding x-intercepts and y-interceptsTo 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. … To find the x-intercept, set y = 0 \displaystyle y=0 y=0.To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

How do you find the Y intercept in an equation?

To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’.

Do all quadratic graphs have a Y-intercept?

Every quadratic has a (single) y-intercept. The reason for this is that the y-intercept is the function value at x = 0, and we can always substitute x = 0 into the quadratic. Thus, the y-intercept of the quadratic function y = ax2 + bx + c is c.

Can a function have no Y intercept?

In fact, any time a function is undefined at 0, it will have no y-intercept.