Christmas Holiday
I hope everyone is having a good winter break so far. I recently wrote a short piece for my other newsletter, discussing the importance of the present moment. Do give it a read!
Anyway, we are given an equation and must identify a possible graph.
Give this problem a try before jumping in for the solution!
Solution
Let’s look at the left-hand side of the equation. Notice that it is a square number, meaning it must be greater than or equal to zero.
We are now concerned with the quadratic inequality. Recall from your study of algebra in school that we can solve for the range of x by plotting the curve.
This is a downward parabola because the coefficient of the quadratic term is negative. The blue region denotes the possible values of x.
Now, think about what that means. In fact, x is only defined for real values between 0 and 2.
If we look at all the graphs, we will find that option A is the only possible choice!
In fact, we can rearrange the given equation.
This is a circle centred at (1,0).
Therefore, the answer is A!
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Happy reading,
Barry 🍩