Quadratics in Standard Form
Quadratics in Vertex Form
Quadratics in Factored Form
Conversions
Potpourri
100
The standard form of quadratics
y=ax^2+bx+c
100
The vertex form of quadratics
y=a(x-h)^2+k
100
The x-intercepts of the quadratic
y=a(x-p)(x-q)
x=p and x=q
100
The process to convert quadratics in standard form to quadratics in intercept form
factoring
100
Write the equation for the graph in intercept form.
y=(x-2)(x-4)
200
The value of y -intercept of quadratics in standard form
y=c
200
Transformation(s) made to x^2 in
y = (x - 3)^2 - 9
Translated right 3 units, down 9 units.
200
The x-intercepts of
y=(x-2)(x+4)
x=2 and x=-4
200
What is the Standard Form of the equation
y=(x-2)(x-4)
y=x^2-6x+8
200
The feature that describes the maximum or minimum value in a quadratic function.
Vertex
300
The y-value of
y = x^2 + 2x + 1 at
x=-4
y=9
300
The vertex of
-2 (x + 4)^2 + 2
(-4,2)
300
The axis of symmetry for
y=2(x-3)(x-2)
x=0.5
300
Intercept form of
y=x^2-15x+36
y=(x-12)(x-3)
300
Write the Vertex Form of the quadratic
y=(x+3)^2-1
400
The Axis of Symmetry of
y=-2x^2 + 16x + 4
What is x=8
400
The y -intercept of
y = 2(x+3)^2 - 8
y=10
400
The y-intercept of
y=(x+7)(x-2)
(0,-14)
400
Standard Form of
y=(x+4)^2-16
y=x^2+8x
400
The height of a basketball shot can be represented by
y=(t+1)(2t-6)
where t represents seconds since the shot was taken. When does the basketball hit the ground?
At 3 seconds
500
The vertex of
y=x^2-2x+7
(1,6)
500
Transformation(s) of
-4 (x + 6)^2 - 4
1. vertical stretch by a factor of 4
2. vertical shift 4 units down
3. horizontal shift 6 units left
4. vertical reflection (flipped upside down)
500
The vertex of
y=-5x(x-8)
(4,80)
500
Standard Form of the quadratic
y=-2(x-3)^2-15
y=-2x^2+12x-33
500
DAILY DOUBLE!!
The maximum height (in feet) of a rocket that can be modeled by the following
y=-2x(x-13)
84.5 feet