# SYMKC Unit 6 Flashcards

1
Q

graphs of quadratic functions are _______________ that open up or down

A

parabolas

2
Q

The ___________ of a parabola is the maximum (opens down) or minimum value (opens up) of its function

A

vertex

3
Q

The _______________ of a parabola is located at the vertex

A

maximum or minimum

4
Q

The _______________ is a vertical line that passes through the vertex of a parabola.

A

axis of symmetry

5
Q

The ____________ is located where the parabola intersects the y-axis

A

y-intercept

6
Q

If the a value of the standard form of a quadratic is positive, which way does the parabola open?

A

up

7
Q

If the a value of the standard form of a quadratic is negative, which way does the parabola open?

A

down

8
Q

Quadratic functions may be represented in two forms. What are they?

A

Standard form and Vertex form

9
Q

Standard Form of a Quadratic Function

A
10
Q

Vertex form of a quadratic function

A
11
Q

If the quadratic is in standard form, how do you compute the vertex?

A
12
Q

What is the equation for the axis of symmetry when the quadratic is in standard form?

A
13
Q

What is the y-intercept in the standard form of the equation of a quadratic?

A
14
Q

If the parabola opens up, and the a > 0, what is the vertex considered?

A

minimum

15
Q

If the parabola opens up, and the a < 0, what is the vertex considered?

A

maximum

16
Q

a minimum of ______ points that lie on the graph of a quadratic function are required to formulate its equation.

A

3

17
Q

What procedures could you use to solve for the equation of a parabola given 3 points?

A

System of equations

• substitution
• elimination
• matrices (calculator)
• regression (calculator)
18
Q

a vertical distance

A

height

19
Q

an object that has been thrown or falling can be modeled by what quadratic function?

A
20
Q

_________ may also open right or left, although they are not functions because they do not pass the ______________

A

Parabolas

Vertical Line Test

21
Q

A parabola is a set of all points in which every point is an equal distance from a fixed point, the __________, and a fixed line, the ___________.

A

focus

directrix

22
Q

The _________ lies inside the parabola.

A

focus

23
Q

The _________ lies outside the parabola. It is also a horizontal line for parabolas opening up or down and it is a vertical line if opening right or left

A

directrix

24
Q

Conic form of a parabola opening up or down

A
25
Q

Conic form for a parabola opening left or right

A
26
Q

The distance from the focus to the vertex or the distance from the vertex to the directrix is call which variable in the conic formula?

A

p

27
Q

if “p” is _______________ the parabola opens up or to the right

A

positive

28
Q

if “p” is _______________ the parabola opens down or to the left

A

negative