Quadratic Functions

Question 0

Parabola

Answer 0

The shape of the graph

Question 1

Quadratic function always has a degree of

Answer 1

Two

Question 2

To transform a function

Answer 2

To change a number in the equation

Which results in a change to the appearance of the graph

Question 3

Parameters

Answer 3

The numbers that we change in the equation

Question 4

The three parameters are

Answer 4

a, p, and q

Question 5

Vertex

Answer 5

The lowest or highest point on a parabola

Question 6

Axis of symmetry

Answer 6

The vertical line that cuts the graph in half

Question 7

Minimum value

Answer 7

The least value in the range of a function, graph opens upward.

Question 8

Maximum value

Answer 8

The greatest value in the range of a function, graph opens downward

Question 9

Change in ‘a’

Answer 9

Negative-flipped
Fraction-wider (compression)
Larger than one-smaller (expansion)

Does not change vertex
Changes shape of parabola

Question 10

Change in ‘p’

Answer 10

If p is negative : x + p, vertex moves to left
If p is positive : x - p, vertex moves to right

Changes vertex on x axis
Does not change parabola

Note that the value of p appears to be the opposite of the sign in the equation

Question 11

Change in ‘q’

Answer 11

Positive-move up
Negative-move down

Changes vertex on y axis
Does not change parabola

Question 12

Descriptions:

Answer 12

Graph is a basic parabola

a-vertical translation by a factor of…
(Multiply y value by a)
If negative, say reflection on x axis

p-horizontal translation
q-vertical translation

Question 13

Order of translating graph

Answer 13

Stretch, reflect, translate

Question 14

General form

Answer 14

y=ax2 + bx + c

Question 15

Standard form

Answer 15

y = a(x-p)2 + q