quadratic function
An equation in the form y=ax^2+bx+c where a≠0.
parabola
The graph of a quadractic function.
Maximum
The highets point of a graph that opens down.
Minimum
The lowest point of a graph that opens up.
Vertex
The maximum or minimu point of a parabola.
Axis of symmetry
The vertical line containing the vertex of a parabola.
Equation of Axis symmetry
x= (-b)/2a
Roots
The solutions of a quadratic equation
Zero
x-interecpts of a quadratic equation
Does this equation have a maximum or a minimum? y=x^2-3
Minimum
Does this equation have a maximum or a minimum? y=x^2-2x-8
Minimum
Does this equation have a maximum or a minimum? y=-x^2+7
Maximum
Does this equation have a maximum or a minimum? y=-3x^2+6x+1
Maximum
What is the equation of the axis of symmetry for y=4x^2?
x=0
What is the equation of the axis of symmetry for y=-2x^2?
x=0
What is the equation of the axis of symmetry for y=-x^2-6x+15
x=3
What is the equation of the axis of symmetry for y=x^2-14x+13
x=7
Does this equation have a maximum or a minimum? y=x^2-4x+3
Minimum
Does this equation have a maximum or a minimum? y==3x^2-6x+4?
Maximum
What is the equation of the axis of symmetry for y=-x^2+2x+3?
x=-1
What is the equation of the axis of symmetry for y=2x^2+12x-11?
x=-3
What is the vertex of y=x^2+2x+18?
(-1,17)
What is the vertex of y=2x^2+12x-11?
(-3,-29)
What is the vertex of y=9-8x+2x^2?
(2,1)
What is the vertex of y=3x^2-6x+5?
(1,2)
What is the vertex of y=5+16x-2x^2?
(4,37)
What is the vertex of x^2-14x+13?
(7,-36)
What are the roots of x^2-5x-24=0?
x=-3x=8
What are the roots of 2x^2+20x+32=0?
x=-8x=-2
What are the roots of x^2+6x+9=0?
x=-3
What are the zeros of x^2+2x+5=0?
No Real Solutions
What are the zeros of x^2-10x+21=0?
x=3x=7
What are the zeros of x^2-4x+3=0?
x=1x=3