Quadratics and their x-intercepts
Name the x-intercepts. y=2(x-2)(x+6)
What is (2,0) and (-6,0)?
Name the vertex y= (x-3)^2 +4
What is (3,4)?
When a quadratic equation is written in this form y = ax^2 +bx + c
Standard Form
State the transformation to the parent function x^2:
f(x) = -3(x-3)^2
Reflect over x, right 3, stretched by factor of 3.
Name the x-intercepts Y=(x)(x-2)
What is (0,0) and (2,0)?
State the vertex: y= (x+1)^2 - 8
What is (-1, -8)?
Every quadratic equation has a U-shaped graph called this.
Parabola
State the transformation to the parent function x^2:
f(x) = 1/3(x)^2
a vertical compression by 1/3.
Name the x-intercepts. y=x^2 - 4
What is (-2,0) and (2,0)?
State the Vertex y=(x+4)(x-4)
What is (0,-16)?
The highest or lowest point on a parabola.
Vertex
State the transformation to the parent function x^2:
f(x) = (x+2)^2 + 6
Left 2 and up 6
Name the x-intercepts y=x^2 - x - 2
What is (-1,0) and (2,0)?
Name the vertex x^2 - 4x - 5 = 0
What is (2,-9)?
The line that runs through the vertex and divides the parabola in half.
Axis of Symmetry
State the transformation to the parent function x^2:
f(x) = -3x^2 + 4
reflect over x, stretch by 3, and up 4.
Name the x-intercepts. y= (x-1)^2 + 1
What is None?
Name the vertex 2x^2 + 4x - 6 = 0?
What is (-1,-8)?
The name of the functions that we have been studying for weeks.
Quadratics
State the transformation to the parent function x^2:
f(x) = -1/4(x+3)^2 - 5
Compress by 1/4, reflect over x, left 3, down 5.