Is this a quadratic formula?

Question

Is y=x^2 + 3x a quadratic formula? What are the qualities of a quadratic formula?

Answer 1

It is a quadratic function, not to be confused with the quadratic formula

 

qualities of a quadratic function:

 

it's in the form ax² + bx + c where a is not equal to zero

 

it's graph is a parabola that opens upward or downward

 

the domain is all real numbers

 

if the parabola opens upward, it's vertex is a miniumum. If it opens downward, it's vertex is a maxiumum

 

If there is a minimum, the range is all real numbers greater than or equal to the y-value of the vertex

 

If there is a maximum, the range is all real numbers less than or equal to the y-value of the vertex

 

the axis of symmetry will divide it into two mirror images

 

It will have two, one or zero x-intercepts where it intersects the x-axis. These points are also called roots, zeroes, solutions.