Features of Quadratics
Standard Form
Vertex Form
Transformations
100
What is the shape of the curve called when you a graph a quadratic equation?
Parabola
100
State a, b, and c of the equation:
y=-2x^2+x-6
a = -2
b = 1
c = -6
100
What is the vertex?
y=(x-4)^2+6
(4, 6)
100
What transformations are happening in the equation:
y=(x-6)^2+11
Shift right 6
Shfit up 11
200
If a is negative, is the graph concave up or conave down?
Concave down
200
Find the axis of symmtery for the equation:
y=-x^2+8x-2
x=4
200
What is the vertex?
y=(x+5)^2+2
(-5, 2)
200
What transformations are happening in the equation?
y=-(x+3)^2-8
Reflect across the x-axis
Shift left 3
Shift down 8
300
State the formula for finding the axis of symmetry.
x=-b/(2a
300
Find the vertex of the equation:
y=3x^2+18x+12
(-3, -15)
300
What is the vertex?
y=3(x-8)^2-1
(8, -1)
300
What transformations are happening in the equation?
y=1/2(x-7)^2-10
Vertically compress by a factor of 1/2
Shift right 7
Shift down 10
400
Sketch a graph where the vertex is (2, -3) and a is positive.
400
Sketch a graph of the equation:
y=-x^2+4x-1
400
Write an equation in vertex form that has a vertex of (3, -5).
y=(x-3)^2-5
400
Write an equation with the following transformations:
Reflect over the x-axis
Vertically stretch by 5
Shift right 2
Shift up 7
y=-5(x-2)^2+7