Vocab
This is the highest exponent in a quadratic equations
2
Name the standard form of a quadratic.
y=ax2+bx+c
This method uses parentheses to break apart an equation.
Factoring
If a>0 , the parabola opens this way.
Up
A ball follows a quadratic path when it’s doing this.
Being thrown or launched
The general form of a quadratic equation is this.
ax2+bx+c=0
Name the vertex form of a quadratic.
y=a(x−h)2+k
This method uses “undoing” operations to isolate x.
Using Opposite operations
If a<0, the parabola opens this way.
down
The maximum or minimum of a quadratic often represents what?
Maximum or minimum value
The U-shaped graph of a quadratic is called this.
Parabola
Name the factored form of a quadratic.
describe
This formula solves all quadratics: x=_____________
-b pluminus etc
The vertex of y=(x−3)^2+2 is at what point?
3,2
A company uses a quadratic to find profit. The vertex represents what?
Maximum profit
The point where the parabola changes direction is called this.
Vertex
Convert y=(x+2)^2−3 to standard form.
y=x2+4x+1
Solve x^2+5x+6=0
x=-2,-3
What are the x-intercepts of y=x^2−9?
(-3,0)
The formula for the height of a thrown object h=−16t^2+vt+h is what type of function?
Quadratic function
The axis of symmetry always passes through this point.
The vertex
From y=2x^2+4x+2 factor completely.
y=2(x+1)^2
Solve 3x^2−2x−1=03using the quadratic formula.
1,-1/3
What is the axis of symmetry for y=x^2+6x+9?
x=-3
Explain one real-life situation that forms a parabola.
Example: a satellite dish shape or water fountain arc