Domain Of Upward Parabola

Determine whether a is positive or negative.

Domain of upward parabola. If a is positive the parabola has a minimum. So we know we have an upward facing parabola. Identify the domain of any quadratic function as all real numbers.

So we know we have a parabola. I parabola is open upward or downward. Y coordinate at the bottom.

The vertex of the up parabola is at 10 10. Y ax 2 bx c if the leading coefficient or the sign of a is positive the parabola is open upward and a is negative the parabola is open downward. Determine the maximum or minimum value of the parabola k.

And we know that our vertex is at a point 5 2s and 1 4. Since the graph does not extend down beyond the point 10 10 the minimum of parabola does not fall below 10 for any real value of x. Given a quadratic function find the domain and range.

If a is negative the parabola has a maximum. Range of a quadratic function the graph of the parabola has a minima at y 3 and it can have values higher than that. Coefficient on the x squared term is 1 which means our parabola is going to be facing upwards.

We use the closed interval for 10 because y 10 is included in the range.