Exam

Question 1

y = f(x) + a

Answer 1

Move up by a

Question 2

y = f(x) - a

Answer 2

Move down by a

Question 3

y = f(x+a)

Answer 3

Move left by a

Question 4

y = f(x-a)

Answer 4

Move right by a

Question 5

y = -f(x)

Answer 5

Reflect in x axis

Question 6

y = f(-x)

Answer 6

Reflect in y axis

Question 7

y = af(x)

Answer 7

Times y values by a

Question 8

y = f(ax)

Answer 8

Times x values by 1/a

Question 9

External intersecting chord theorem

Answer 9

From outside circle to radius of circle x whole line

Question 10

Internal intersecting chord theorem

Answer 10

AB is a line
CD is a line
a x b = c x d

Question 11

Alternative line equation for differentiation

Answer 11

y-y1 = m(x-x1)
x1 and y1 are the values we know

Question 12

How to find equation of the tangent to the curve when given the value of the x point. E.g. find the tangent to the curve when x = 4

Answer 12

Find y by putting the given x value into the curve equation.
Use y-y1 = m(x-x1)
To find m, the gradient, differentiate the curve equation and substitute the given x value, will get a number.

Question 13

How to find IQR of a list of odd numbers

Answer 13

Find median.
Then find median of lower half (excluding the median value)
Find median of upper half (excluding median)
Minus median of lower from median of higher

Question 14

If a graph transformation is y = f(x/a), what do you do?

Answer 14

Following rule of a/x values, you would times x values by a