Chapter 2

Question 1

Quadratics:
A quadratic function is a _____ function that can be written in the standard form: y =__ + ___ = _ where a is not _

Answer 1

Nonlinear
Y= ax^2 + bx = c
0

Question 2

The u shaped graph of a quadratic function is called a ____

Answer 2

Parabola

Question 3

Domain: possible __ points. (In___)

Answer 3

X
Inputs

Question 4

Range: possible __ values. (O___)

Answer 4

Y
Outputs

Question 5

Charecteristics:
- vertex: ____ or ____ point from where the parabola opens. Written as point (,)
- axis of symmetry: the ____ line that divides the parabola into ___ symmetric parts. This line passes through the v____.

Answer 5

Lowest or highest
(H,K)
- vertical
Two
Vertex

Question 6

Axis of symmetry format:

Answer 6

X=# that splits the vertex evenly

Question 7

Range format:

Answer 7

Y≥ or ≤ #

Question 8

Vertex fork for quadratics:
Y= a(x-h)^2 + 5
A: a<0 = r_____
IaI > 1 = vertical _____ by a factor of a
- IaI < 1 = vertical ____by a factor of a
H: h>0 = shift ____ h units
- h<0 = ___ h units
K: k>0 = shift ___
K<0 = shift ____ k units

Answer 8

A: reflection
Stretch
Shrink
H: right
Left
K: up
Down

Question 9

Vertex fork for quadratics:
Y= a (x-h)^2 + k
- domain: ____ ___ ____
- AOS: x = ____
- range: - a_ 0 = y_k
- a _0= y_k

Answer 9

Domain: all real numbers
Aoa: h
Range:
- a>0 = y≥k
- a<0 = y≤k

Question 10

f(x) = ax^2 + bx + c
- when a>0, the graphic opens _____.
- when a<0 the graph opens _____.
- the y intercept is __.
The axis of symmetry is _ = -/
- the x value of the vertex can be found using: (-/__, f(-/__)

Answer 10

• upwards
• downwards
• c
• x=-b/2a
• (-b/2a,f(-b/2a))