book Maths Puzzle Numerical Ability

how would you graph |x+1|=y? what does the | | mean?

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book Other Question

Charles is x years old now. Express his age 12 years ago. Identify the shape of the graph, transform it into standard form, and sketch the graph.
25x^2 - 16y^2 + 50x + 128y + 169 = 0