C1.2

Question 1

Equation of a linear graph

Answer 1

y=mx+c

Question 2

What is the gradient of the normal?

Answer 2

-1/m

Question 3

transformation of y=f(x)

Answer 3

same

Question 4

Integration

Answer 4

dy/dx to y

Question 5

If two lines are perpendicular…

Answer 5

the product of their gradients is one.

Question 6

equation of a quadratic

Answer 6

y=ax^2 +bx+c

Question 7

equation of a cubic

Answer 7

y=ax^3+bx^2+cx+cd

Question 8

equation of a reciprocal

Answer 8

y=a/x

Question 9

What is the gradient of a line?

Answer 9

difference in y-coordinates / difference in x-coordinates

so m=y2-y1/x2-x1

Question 10

How do find the equation of a line with gradient m that passes through the point (x1,y1)?

Answer 10

Use the formula, y-y1=m(x-x1)

Question 11

Finding the equation of the line which passes through 2 sets of points

Answer 11

y-y1/y2-y1=x-x1/x2-x1

Question 12

How do you integrate?

Answer 12

add one to the power then divide by the new power.

Question 13

sx^ndx=?

Answer 13

integrate

Question 14

If dy/dx= x^n

Answer 14

then y=1/n+1 x^n+1+c

Question 15

How do you differentiate?

Answer 15

when y=x^n, dy/dx=nx^n-1

Question 16

transform y=f(x+a)

Answer 16

left if positive, right if negative

Question 17

y=f(ax)

Answer 17

squashes towards y by scale factor of 1/a

Question 18

y=f(x)+a

Answer 18

up or down by a

Question 19

y=af(x)

Answer 19

squashes vertically