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Functions and Graphs

Quick questions on Quadratic graphs explained: N(A)-Level Mathematics Functions and Graphs

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the shape of a quadratic graph?
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A quadratic function always graphs to a smooth U-shaped curve called a parabola. The sign of aa (the coefficient of x2x^2) decides which way it opens:
What is plotting the curve?
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To draw a parabola, build a table of values across a sensible range of xx, then join the points with a smooth curve (not straight segments):

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