Half Term 1 Flashcards
y - y1 = ?
m(x - x1)
What does a negative power mean?
The reciprocal
What does a fraction exponential mean?
A square root
What do you get when you multiply two inversely proportional fractions together?
You get -1
What happens when both sides of an exponential equation have the same base?
Their powers are equal
T/F: Directly proportional graphs pass through the origin
True
How is the discriminant related to the roots of an equation?
If the discriminant = 0, there is one repeated root
If the discriminant < 0, there are no real roots
If the discriminant > 0, there are two roots
What does f(x + a) mean?
A horizontal translation of -a
What does f(x - a) mean?
A horizontal translation of +a
What does f(ax) mean?
A horizontal stretch of 1/a, you multiply all x values by 1/a
What does af(x) mean?
A vertical stretch of a, this means you multiply all y values by a
What is f(-x)?
A reflection in the y-axis
What is -f(x)?
A reflection in the x-axis
T/F: A quadratic can only have one root
False: A quadratic can only have two roots or one repeated root
What is a root?
Where the line crosses the x-axis
What do you need to include when you square root a value?
You must include a +- before the solution
What is the dividend?
The number you are dividing by
What is the divisor?
The number you are dividing
What is the quotient?
The whole answer from a division
What is the remainder?
The number left over from the quotient of a division
How do you use the factor theorem?
When (x - a) is a factor of an equation subbing +a into the equation will make the equation equal to 0
What does this set notation mean? {x: x > 1}
x is such that it is always greater than 1
