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In order to simplify the equation, like terms need to be collected.Square terms (x²) can’t be collected with not square terms (x).
x² terms = 1x² + 4x² = 5...

First, let's start by labelling the equations. We can call x²+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 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 tr...

(1) is the equation y=x³+4x²-2x-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...

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 i...