Factoring
Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0
x = 7 x = -2
or x = { 7, -2}
When solving quadratic equations, we are trying to find what feature of the parabola?
x-intercepts
What is the name of the graph for quadratic equations?
A parabola
What has hands but can’t clap?
A Clock
Solve the following quadratic equation by factoring. x2+3x+2 = 0
x = -2 x = -1
What are the three different types of solutions we can have when solving quadratics
No real solution (Imaginary), One solution or Two solutions
This is the point where a quadratic function crosses the y-axis
y-intercept
Why did the math book look so sad?
Because it had too many problems.
Solve the following quadratic equation by factoring. x2 - 6x + 5 = 0
x = 5 x = 1
How do we know a quadratic function does not have solutions when looking at a graph?
It does not touch or pass through the x-axis
This line crosses the vertex of a parabola and divides the parabola into 2 equal halves.
Axis of Symmetry
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
An echo.
Solve the following quadratic equation by factoring.
x2 - 6x - 27 = 0
x = 9 x = -3
Why is the quadratic formula useful for solving quadratic equations?
We can ALWAYS use the quadratic formula, but we cannot always factor.
Another name for the solutions to a quadratic equation are its ___________ .
roots
The more you take, the more you leave behind. What am I?
Footsteps
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
x = -1/2 x = 3
How do we know a quadratic function does not have a real number solution when using the quadratic formula?
The discriminant will be negative. (i.e. the number under the square root)
This point is the center of a parabola and can be a maximum or minimum, depending on the direction of the parabola.
Vertex
I’m not alive, but I grow.
I don’t have lungs, but I need air.
I don’t have a mouth, but water kills me.
What am I?
Fire