SYMKC Unit 6

Question 1

graphs of quadratic functions are _______________ that open up or down

Answer 1

parabolas

Question 2

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

Answer 2

vertex

Question 3

The _______________ of a parabola is located at the vertex

Answer 3

maximum or minimum

Question 4

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

Answer 4

axis of symmetry

Question 5

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

Answer 5

y-intercept

Question 6

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

Answer 6

up

Question 7

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

Answer 7

down

Question 8

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

Answer 8

Standard form and Vertex form

Question 9

Standard Form of a Quadratic Function

Answer 9

Question 10

Vertex form of a quadratic function

Answer 10

Question 11

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

Answer 11

Question 12

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

Answer 12

Question 13

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

Answer 13

Question 14

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

Answer 14

minimum

Question 15

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

Answer 15

maximum

Question 16

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

Answer 16

3

Question 17

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

Answer 17

System of equations

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

Question 18

a vertical distance

Answer 18

height

Question 19

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

Answer 19

Question 20

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

Answer 20

Parabolas

Vertical Line Test

Question 21

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 ___________.

Answer 21

focus

directrix

Question 22

The _________ lies inside the parabola.

Answer 22

focus

Question 23

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

Answer 23

directrix

Question 24

Conic form of a parabola opening up or down

Answer 24

Question 25

Conic form for a parabola opening left or right

Answer 25

Question 26

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?

Answer 26

p

Question 27

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

Answer 27

positive

Question 28

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

Answer 28

negative