Quadratics in Standard Form
Quadratics in Vertex Form
Quadratics in Factored Form
Characteristics
Graph
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 factored form of quadratics
y=a(x-r)(x-s)
100
Does the graph of
-2(x + 5)2 + 2
have a minimum or a maximum?
Maximum
100
What is the vertex ?
(3,-1)
200
The y-value of y=-3x2-2x+1 at x=-4
y=-39
200
Values of a to reflect
y = a (x - h)^2 + k
a < 0
200
Given the zeroes of the following:
x^2-6x+8
x=2 and 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=0
y=1
300
The vertex of
y=-2 (x + 4)^2 + 2
(-4,2)
300
Find the axis of symmetry
y=3x2+12x-4
x=2
300
Find the vertex:
y=-6x2+1
(0,1)
300
How many solutions does this graph have?
No solution
400
What is the y-intercept of the following function
y=3x2+4x-6
y=-6
or (0,6)
400
what is the vertex? and does it open up or down?
y = 2(x+3)^2 - 8
(-3,8) opens up
400
What is it called when the quadratic reflects its self? (hint: it splits it in half)
Axis of symmetry
400
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
x = -3
400
Name the zero ?
0 and 4
500
A scientist found that for the years 2012-2018, the equation models the average gas mileage of used vehicles sold in Florida, where x is the number of years since 2012 and y is the average gas mileage. Enter a number to show the year when the average gas mileage was the greatest for used vehicles sold in Switzerland.
y=-0.4(x-3)^2+42
2015
500
What is the vertex? Does it have a min or max value?
y=-4 (x + 6)^2 - 4
(-6,4) and max value
500
y=-3(x-7)(x+3) What are the roots?
7 and 3
500
What formula do you use when the quadratic is in standard form and you need to find the AOS?
x=-b/2a
500
what is the solution ?
1 and 3