12 VCE Methods BCC Flashcards
State the Quadratic formula
State the distance formula
show f(x) when translated h units in the positive direction of the horizontal axis.
f(x-h)
State the rule for the function
log(a)+log(b)
log(ab)
quick sketch
value of discriminant when 2 solutions
> 0
greater than 0
If the gradient of 2 equations is the same and the y-int is the same how many solutions do they have?
infinite
State the rule for the function
state the discriminant
value of discriminant when 1 solution
= 0
state the expression for the axis of symmetry
State the rule for the function
value of discriminant when no solution
< 0
less than 0
show f(x) when reflected in the vertical axis
f(-x)
State the rule for the function
show f(x) when dilated by a factor of a from the horizontal axis
af(x)
If the gradient of 2 equations is different, how many solutions do they have?
1
State the rule for the function
log(a^b)
blog(a)
log(1)
0
How does the domain of the inverse relate to the original function?
It is equivalent to the range.
show f(x) when dilated by a factor of a from the vertical axis
f(x/a)
show f(x) when translated k units in the positive direction of the vertical axis.
f(x)+k
State the equation of a linear line.
quick sketch
log(a)-log(b)
If the gradient of 2 equations is the same but different y-int how many solutions do they have?
0
show f(x) when reflected in the horizontal axis
-f(x)
State the rule for the function
state the midpoint coordinate rule
State the rule for the function