01 Quadratics

Question 1

If a quadratic has an positive x², will there be a maximum or minimum point?

Answer 1

Minimum point

Question 2

If a quadratic has an -x², will there be a maximum or minimum point?

Answer 2

Maximum

Question 3

Where is the line of symmetry in a quadratic graph?

Answer 3

A vertical line through the min/max point

Question 4

What is the vertex?

Answer 4

The turning point

Question 5

How do you find the min/max point from completing the square? Use y = (x + a)² +b

Answer 5

(-a,b) change the sign of a for x and leave b the same as y.

Question 6

What is the discriminant?

Answer 6

b²-4ac

Question 7

If the discriminant of a quadratic is more than zero than how many real roots does it have?

Answer 7

2

Question 8

If the discriminant of a quadratic is equal to zero than how many real roots does it have?

Answer 8

1

Question 9

If the discriminant of a quadratic is less than zero than how many real roots does it have?

Answer 9

None

Question 10

What type of equation should you use to find intersection points of 2 graphs?

Answer 10

Simultaneous

Question 11

Where is the line of symmetry on a quadratic curve?

Answer 11

A vertical line through the min / max point.

Question 12

If the discriminant is above 0 how many intersection points are there?

Answer 12

2

Question 13

If the discriminant is equal to 0 how many intersection points does it have?

Answer 13

1

Question 14

If the discriminant is less than 0 how many intersection points are there?

Answer 14

0

Question 15

How do you use the discriminant to find how many intersection points of a quadratic curve and a line there are?

Answer 15

Use a simultaneous equation then use the discriminant

Question 16

What does this mean?

Answer 16

A and B

Question 17

What does this mean?

Answer 17

A or B

Question 18

What does this mean?

Answer 18

The empty set

Question 19

What does this mean?

Answer 19

A set of all real numbers (including all possible decimals)

Question 20

What does this mean?

Answer 20

A set of all integers (including negative numbers or 0)

Question 21

What does this mean?

Answer 21

A set of all natural numbers (all positive integers)

Question 22

What does this mean?

Answer 22

x is a member of set A.

Question 23

What does this mean?

Answer 23

x is a real number.

Question 24

How do you rearrange quadratic inequalities?

Answer 24

1. Rearrange so the right hand side is 0
2. Solve the quadratic equation to fin the critical values
3. Sketch the graph of the quadratic function
4. Use the graph to find the required set of values.

Question 25

When does a cubic graph look like this?

Answer 25

When all 3 roots are the same (positive).

Question 26

When does a cubic graph look like this?

Answer 26

When you have 3 different roots. (Positive)

Question 27

When does a cubic graph look like this?

Answer 27

When you have 1 repeated root and one different root. (Positive)

Question 28

When does a cubic graph look like this?

Answer 28

All 3 roots are the same (negative).

Question 29

When does a cubic graph look like this?

Answer 29

3 different roots (negative).

Question 30

When does a cubic graph look like this?

Answer 30

One repeated root and one different.

Question 31

What is an a^x graph called?

Answer 31

An exponential function

Question 32

What does an exponential graph look like (y = a^x)?

Answer 32

Question 33

What type of graph is y = k/x (or y=k/x^2)?

Answer 33

A reciprocal graph

Question 34

What type of graph is this?

Answer 34

Reciprocal (y=k/x)

Question 35

Where are the asymptotes on a reciprocal graph?

Answer 35

X=0 and y=0

Question 36

What is an asymptote?

Answer 36

A line which the graph approaches but never reaches.

Question 37

What type of graph is this?

Answer 37

A reciprocal graph (y=k/x^2)

Question 38

What type of graph is this?

Answer 38

A reciprocal graph (y=k/x^2)