difference between linear-quadratic and quadratic-quadratic equations
3 years ago
Answered By Emily D
Did you mean the difference between linear function and quadratic function? I've only seen linear-quadratic and quadratic-quadratic used to describe systems of equations so hopefully, these definitions help a little (feel free to shake your fist angrily at me if it does not)
LINEAR functions are one-to-one, meaning there are no exponents on either side. Because of this, your equation is a straight line. The slope - how much y changes when x changes - is constant and never changes itself.
QUADRATIC functions do not have a constant slope or rate of change. You can have exponents greater than 1 on the x-side.
Because of this, if we're looking at a system of equations:
LINEAR QUADRATIC - is a line intersecting a parabola
Example: 2(x-4)2 -12 = 7x+14
QUADRATIC QUADRATIC - is two parabolas intersecting
3 years ago
Answered By Emily D
Did you mean the difference between linear function and quadratic function? I've only seen linear-quadratic and quadratic-quadratic used to describe systems of equations so hopefully, these definitions help a little (feel free to shake your fist angrily at me if it does not)
LINEAR functions are one-to-one, meaning there are no exponents on either side. Because of this, your equation is a straight line. The slope - how much y changes when x changes - is constant and never changes itself.
QUADRATIC functions do not have a constant slope or rate of change. You can have exponents greater than 1 on the x-side.
Because of this, if we're looking at a system of equations:
LINEAR QUADRATIC - is a line intersecting a parabola
Example: 2(x-4)2 -12 = 7x+14
QUADRATIC QUADRATIC - is two parabolas intersecting
Example: 3x2 + 2x + 5 = 3(x+9)2 - 6