Axis and Vertex
Find the axis of symmetry for
x^2-14x+45
x=7
x^2=144
x= 12,-12
x^2+6x-7=0
x=1,-7
What is the domain for every quadratic?
All Real Numbers
Find the vertex for
x^2-14x+45
(7,-4)
x^2-8=56
x=8,-8
x^2-10x+16=0
x=8,2
When the vertex is the lowest point it's known as the what?
Minimum
Find the axis of symmetry for
4x^2+72x-18
x=-9
(x-5)^2=49
x=12,-2
x^2-2x-63=0
x=9,-7
When the vertex is the highest point it's known as the what?
Maximum
Find the vertex for
2x^2+20x-10
(-5,-60)
3x^2-21x+36=0
x=3,4
x^2-14x+24=0
x=2,12
How do you know what direction the graph is going?
Based on the sign of the x2 term
Find the vertex for
-3x^2+30x+125
(5,200)
4x^2-16x-84=0
x=7,-3
x^2+8x-33=0
x=-11,3
A point that directly touches the x-axis is also known as what?
Zeros