Core 1

Question 1

How do you find the intersection of 2 lines?

Answer 1

Using simultaneous equations

Question 2

What happens if y2-y1=0?

Answer 2

Horizontal line, so y=…

Question 3

What happens if x2-x1=0?

Answer 3

Vertical line, so x=

Question 4

What’s the order of a polynomial?

Answer 4

The biggest power in the expression

Question 5

How do you know if a polynomial has an odd or an even function?

Answer 5

Look at the order, if it’s odd then odd, if it’s even then even

Question 6

In an odd function, f(a)=…

Answer 6

-f(a)

Question 7

In an even function, f(a)=…

Answer 7

f(-a)

Question 8

When multiplying functions, which way do you work from?

Answer 8

Right to left

Question 9

What’s general form?

Answer 9

y=a(x-b)(x-c)

Question 10

Turning point or vertex of y=(x-a)^2+b

Answer 10

(a,b)

Question 11

Line of symmetry of y=(x-a)^2+b

Answer 11

x=a

Question 12

How many solutions?

Discriminant > 0

Answer 12

2 real solutions

Question 13

How many solutions?

Discriminant < 0

Answer 13

0 real solutions

Question 14

How many solutions?

Discriminant = 0

Answer 14

1 real solution

Question 15

When can you transform an equation into a quadratic?

Answer 15

When the larger power is double the smaller power

Question 16

When does an equality sign flip?

Answer 16

When you multiply or divide by a negative

Question 17

What does differentiation tell you?

Answer 17

Rate of change

Question 18

What’s the normal perpendicular to?

Answer 18

The tangent

Question 19

What’s the gradient at a maximum and minimum point?

Answer 19

0

Question 20

What does the second derivative tell you?

Answer 20

Rate of change of the gradient

Question 21

What type of stationary point is this?

Second derivative > 0

Answer 21

Minimum point

Question 22

What type of stationary point is this?

Second derivative < 0

Answer 22

Maximum point

Question 23

What type of stationary point is this?

Second derivative = 0

Answer 23

Probably point of inflection, need to use table method to check

Question 24

Equation of a circle

Answer 24

(x-a)^2 + (y-b)^2 = r^2

Question 25

What angle does a tangent meet a radius at?

Answer 25

Right angle

Question 26

If a radius bisects a chord then they are…

Answer 26

Perpendicular

Question 27

What’s the angle in a semi circle?

Answer 27

Right angle

Question 28

What transformation is this?

y=f(x)+k

Answer 28

Translation of k in the y direction

Question 29

What transformation is this?

y=f(x+k)

Answer 29

Translation of -k in the x direction

Question 30

What transformation is this?

y=kf(x)

Answer 30

Stretch factor k in the y direction

Question 31

What transformation is this?

y=f(kx)

Answer 31

Stretch factor 1/k in the x direction

Question 32

What transformation is this?

y=-f(x)

Answer 32

Reflection in the x axis

Question 33

What transformation is this?

y=f(-x)

Answer 33

Reflection in the y axis