8.1
Which of these is a quadratic function?3
y = 3x2 + 4x - 1
y = 4x - 22
3x3 + 4x2 - 1
y = 3x2 + 4x - 1
What is the standard form of a quadratic function?
y = ax2 + bx + c
Find the axis of symmetry and vertex.
y = (x-1)2 + 2
x = 1
Vertex = (1,2)
What is the parent quadratic function?
Order the functions from narrowest to widest.
y = -x2 + 6x
y = 2x2 + 34
y = 1/10x2 + 6x
y = 2x2 + 34
y = -x2 + 6x
y = 1/10x2 + 6x
Is this a quadratic function?
(0,6) (1,12) (2,20) (3,30)
Yes
Find the axis of symmetry and vertex.
y = x2 + 4x + 4
X = -2
Vertex = (-2,0)
Find the axis of symmetry and vertex.
y = 2(x-2)2 + 5
x = 2
Vertex = (2,5)
Recognize the transformation of f(x) = x2
f(x) = (x+3)2
left 3
Describe the transformation of the parabola from y = x2
f(x) = (x-2)2 + 1
right 2, up 1
Is this a quadratic function?
x | 1 | 2 | 3 | 4 | 5 |
y | 2 | 5 | 30 | 78 | 243 |
No
y = -3x2 + 2x + 3
x = 1/3
Vertex = (1/3,10/3)
Find the axis of symmetry and vertex.
y = -3(x+7)2 - 8
x = -7
Vertex = (-7,-8)
Recognize the transformation of f(x) = x2
f(x) = x2 - 13
13 down
Describe the transformation of the parabola from y = x2
f(x+3)
left 3
Identify the direction of this parabola.
y = 4x2
a = 4
up
Find the axis of symmetry and vertex.
f(x) = 1/2x2 + 4x - 4
x = -4
Vertex = (-4,-12)
Find the axis of symmetry and vertex.
y = (x-5)2 - 3
x = 5
Vertex = (5,-3)
Recognize the transformation of f(x) = x2
f(x) = (x+3)2 - 4
left 3, down 4
Describe the transformation of the parabola from y = x2
g(x) = (x-1)2 + 2
right 1, up 2
Identify the direction of the parabola.
2x2 + y = 5
a = -2
down
Find the axis of symmetry and vertex.
y = -x2 + 4x + 4
Vertex = (2,8)
Find the axis of symmetry and vertex.
y = (x+6)2
x = 6
Vertex = (6,0)
Recognize the transformation of f(x) = x2
f(x) = (x+3)2 + 1
left 3, up 1
Describe the transformation of the parabola from y = x2
h(x) = (-x)2 + 1
reflection over the x-axis, up 1