Parts of a Quadratic
More Quadratics
Algebra
Vertex Form
Graphs of Parabolas
100
The standard form of quadratics
y=ax^2+bx+c
100
The vertex form of quadratics
y=a(x-h)^2+k
100
Solve for x:
2(x-1)-1=3
x=3
100
Completing the Square gets a quadratic equation from Standard Form into...
Vertex Form
100
What is the vertex ?
(3,-1)
200
The value of y -intercept of
y=x^2+6x+2
y = 2
or (0,2)
200
Does the parabola open Up or Down?
-2(x + 4)^2 + 2
Down
200
Factor the quadratic:
x^2-6x+8
(x-2)(x-4)
200
What is the vertex of the equation
y= (x-12)^2+7 ?
(12, 7)
200
Quadratic equations take the shape of a what when graphed.
u
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 line that splits a parabola in half.
Axis of symmetry
300
Does the graph of
-2(x + 5)^2 + 2
have a minimum or a maximum?
Maximum
300
How many solutions does this graph have?
No solution
400
What is the y-value when x = 2
y=2(x-4)^2-8
y = 0
400
The y -intercept of
y = 2(x+3)^2 - 8
y=10
400
Solve for x using the Quadratic Formula.
x^2+4x+3=0
x=-1
and
x=-3
400
A parabola has a vertex at (-3,2). Where is the line of symmetry?
x = -3
400
What are the x-intercepts?
(0,0) and (4,0)
500
What is the y value when x = 3
y=(x-4)(x+2)
x=-5
500
What are the x-intercepts of the quadratic:
y=(x-3)(2x+5)
(3,0) and (-5/2,0)
or
(3,0) and (-2.5,0)
500
Solve for x using the Quadratic Formula.
4x^2+8x+7=4
(-0.5,0)
and
(-1.5,0)
500
Rewrite the quadratic equation in Vertex Form by Completing the Square.
x^2+6x+8=0
y=(x+2)^2-4
500
What are the x-intercepts?
(1,0) and (3,0)