State the translation T a.b required to obtain the graph with the first equation to that with the second equation. a. y = 1/4 x2 → y = 1/4x2 - x + 2 b. y = 1/3 x3 → y …

I am in year 11 and I am wondering if i could do 'Engage Tutoring' as its for year 12, so I wanted to know if i could still go there and get tutored for both year 11 and 12 subject …

Can you draw arrows on the ends of graphs that 'curve' since doing so would invalidate the fact that they are curvy (not straight) in the undrawn region (since you cannot draw curv …

What does this mean? f: R → R f means function R means the real number field Or, so I thought...

Why doesn't the range of x values from 0 to 1 and from -1 to 0 screw up the sketching of graphs? When fractions are squared, they return lower y values than the original x value. …

I am having some difficulty understanding the concept of dilation of x values. As I understand it, the following summarizes 'transformations' in terms of x. f(2x) dila …

y = 1 / [ (1/4)(x-3) ] The dilation here, is apparently 4 Meanwhile: (1/4)(x-3) This has a dilation of 1/4 When describing transformations from 1/x, why is the first s …

Can simultaneous equations have an infinite number of solutions?

How would you you apply matrix transformations that adjust the 'axis' using trigonometric values - to quadratics and all sorts of graphs other than the 'linear' graphs that are dea …

Hey, I'm doing Methods AND Further 3/4 this year and I do every question in every exercise carefully but come exam time, I'm still not getting those 100%'s I'm aiming for. Are the …

Is this the 'answer' before you have put it into a CAS calculator for this question (since working out is not provided in the book) Question: f(x) = 2 g(x-2) + 1 and g(x) = sqrt …

Find the co-efficient of y4 in the expansion of (y+3)3(2-y)5

In choosing between Mathematical Methods and Further Maths, what considerations should a student take into account?

I can draw normal hyperbolas fine (in the form of y=a/(x-b)+c) What i have trouble with, is when the 'a' has an x value in it For example, how would i draw; y= (x+3) / (x-2)?

Hey, I'm a bit stumped on this one, any help appreciated, thanks in advance! The cross-section of a theme park ride has a central structure as shown below. The sides of …