2
3.5 y = a ( x p ) q
1.
Write an equation that could correspond to each graph
2.
Name:_
Sketch the graph for each parabola on the grid provided
ach
2
y = 2 ( x + 4) 3
y=
1
2
( x 4) + 2
2
2
y = 3 ( x 3) + 4
y=
3
2
( x + 3) 4
2
3.
Fill in the properties fo
3.7 Solving Quadratic Equations
1.
Name:_
Solve the following by factoring
x2 4 x + 3 = 0
m 2 m 56 = 0
5 x 2 x 18 = 0
6 x 2 + 17 x 14 = 0
25m 2 36 = 0
x 4 13x 2 + 36 = 0
2.
Solve each by completing the square
x 2 + 4 x 12 = 0
x2 6 x + 7 = 0
2 x2 8x + 5 =
3.6
1.
y = ax 2 + bx + c
Name:_
2
Write each equation in the form y = a ( x p ) + q
y = x2 6 x + 8
y = x 2 + 10 x + 14
y = 2 x 2 + 4 x + 5
y = 2 x2 + 4 x + 7
y = 3x 2 24 x + 40
y = 5 x 2 20 x 30
f ( x ) = 11x x 2
2.
h ( x) =
1 2
x 2x + 7
2
Determine the f
3.8 The Discriminant
1.
Name:_
Find the value of each discriminant
x 2 + 11x + 24 = 0
x2 4 x + 2 = 0
4 x 2 20 x + 25 = 0
2 x2 5x + 8 = 0
3x 2 + 13x 10 = 0
7 x 2 + 12 x + 6 = 0
2.
Determine the nature of the roots of each equation
x2 9 x + 7 = 0
4 x 2 + 36
3.9 Solving Problems using Quadratic Equations
1.
Name:_
Antonino threw a ball from a bridge to the river below. The ball followed the path of a parabola,
approximated by the function
h ( t ) = 5t + 25t + 24
where t is the number of seconds that have pass
3.10 Quadratic Review
1.
Graph each function, and give its domain and range
a)
2.
2
f ( x ) = 2 ( x + 3 ) + 6
Find the equation of each parabola
a) With vertex (-2, 0), y-intercept 4
intercept
b)
f ( x) =
1
2
( x 8) 3
2
b) with vertex (5, 0), y-intercept
2
2
3.3 y = ( x p ) q & y = ( x p ) q
1.
Write an equation that could correspond to each graph:
2.
Name:_
Sketch each of the graphs on the grid provided:
2
y = ( x 5) + 4
2
y = ( x 6) 5
2
y = ( x + 3) 4
2
y = ( x + 4) + 3
3.
Fill in the properties for eac
3.4 y = ax
2
1.
Write an equation that could correspond to each graph
2.
Name:_
Sketch each parabola on the grid provided
y = 2 x2
y = 3x 2
y=
1 2
x
2
y = 2.5 x 2
3.
Find the equation of each parabola
Vertex of (0, 0) passing through (3, 18)
Vertex of (0,
3.1 y x2 & y - x 2
1.
Which functions are quadratic?
a)
2.
b) f x x 2 x
y 3x 2 7 x 2
c) f x 36 16 x 2
d) h x
Graph each of the following on the grids provided:
y x2
3.
Name: _
For the quadratic shown determine the following:
x-intercepts:
vertex:
axis of
2
3.2 y = ( x p ) &
y = x2 q
1.
Write an equation that could correspond to each graph
2.
Name:_
e:_
Sketch each of the graphs on the grid provided:
y = x2 2
y = ( x 3)
2
y = x2 + 4
y = ( x + 2)
2
3.
Fill in the properties for each of the given equations
y