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In order to simplify the equation, like terms need to be collected.Square terms (x 2 ) can’t be collected with not square terms (x). x 2 terms = 1x 2 + 4x 2 = 5x 2 x terms = 3xremaining terms = -2 Added toge...

First, let's start by labelling the equations. We can call x 2 +2y=9 equation 1 and y=x+3 equation 2. Rearrange equation 2 to give us x = y-3. We can then substitute this back into equation 1. So we get (y-3...

We can first draw the graph of y = f(x) = x^2 which is a simple graph like this (whiteboard). Now looking at y = f(x) + 3, we can see that this is a translation by the vector [0 3]. Therefore we can translat...

(1) is the equation y=x 3 +4x 2 -2x-3. First we want to find the coordinates of the curve for x=-4. This means that we are going to substitute x=-4 into (1) to find the value of y. y=(-4) 3 + 4(-4) 2 - 2(-4)...

You can do this a couple of ways. The first is by using the quadratic equation shown below. Each letter corresponds to the the coefficient of different powers of x. A is the number in front of x^2 and b is i...