Quadratic Equations Can Have Two, One, or No Solutions
Quadratic equations with one variable can have one solution, two solutions, or no solution at all.
Subject: parabola
Transcript: PARABOLA BELOW NEGATIVE 1 ON THE Y-AXIS. THERE ARE NO POSSIBLE VALUES OF X THAT GIVE US A VALUE OF NEGATIVE 2 FOR Y. THERE ARE NO SOLUTIONS TO THIS EQUATION
Parabola, The
Every parabola has an extreme value, which is the highest or lowest point on the curve, and is symmetrical.
Subject: parabola
Transcript: LET'S TAKE A CLOSER LOOK AT THE PARABOLA. THE GRAPH OF EVERY QUADRATIC EQUATION WITH TWO VARIABLES IS A PARABOLA. A PARABOLA MAY OPEN UP OR DOWN. IT
Graphic of Quadratic Equations
All quadratic equations with two variables have an infinite number of solutions. When graphed, these ordered pairs lie on a curve called a parabola.
Subject: parabola
Transcript: 'LL MARK EACH ORDERED PAIR ON THE COORDINATE PLANE. NOTICE THESE POINTS ARE NOT IN A STRAIGHT LINE. THEY LIE IN A SPECIAL KIND OF CURVE CALLED A PARABOLA.
Practical Problem: Pricing a Product and Maximizing Profit
Using a quadratic equation with two variables to solve a practical problem involving product pricing.
Subject: parabola
Transcript: , PROFIT IS NEGATIVE 18,750. WITH THESE THREE POINTS, THE GRAPH OF THE EQUATION WILL LOOK SOMETHING LIKE THIS. WE KNOW THE GRAPH IS A PARABOLA EVEN THOUGH WE