How may y-intercepts could the graph of a quadratic function have?Explain your answer?

Answer 1

1!

To call something a FUNCTION is to say that for any value or element of the independent variable x, in the "domain", there is a unique dependent value for the variable y, in the "range".

This is to say that if you hve a mathematical relationship between x and y that can be graphed on the coordinate plane, and for some value of x, there is more than one value of y... its is NOT A FUNCTION!

... hope that helps!

Answer 2

0, 1, or 2

Below is a link to Wikipedia which explains it all.

Briefly:

A quadratic equation is one in the form of ax^2 + bx + c = 0, where a is not 0. As a function of x, it would take the form f(x) = ax^2 + bx + c, again where a is not 0. The curve is a parabola (NOT a hyperbola. All squared functions resolve to a parabola) which can have 3 orientations. The open end points away from the Y axis, 0 intercepts. The open end points down a line parallel to the Y axis, 1 intercept, and last, the open end points toward the Y axis, which gives the maximum number as 2. The wiki entry explains it in much more detail.

Answer 3

1 .... if it intercepts the y-axis at more than just 1 point then it is not considered a function of x and therefor is not a real function

Answer 4

The quadratic function has only ONE interception of the Y axis. The shape of the function is a hyperbola ("U").
Answers above are incorrect in stating that more than one interception of the Y axis is NOT a function. It IS!
The circle function, if centered around the origin, intercepts the Y axis TWICE...
Other functions, more complex, can intercept the Y axis in multiple points!
But they are STILL FUNCTIONS...