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First multiply out the bracketsMultiply each component within the bracket by 4 (4 x 3x) + (4 x -7) = 812x - 28 = 8 Now you want to ensure you have the x's on their ownYou can eliminate the -28 by adding 2...

(x+6)^{^2}-36+4=0(x+6)^{^2}-32=0(x+6)^{^2}=32(x+6)=±√32x=-6±√32

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...