Range of a quadratic

What this lesson shows

y = x² − 4. Here's a question about the WHOLE curve at once: which heights does it actually reach… and which does it never touch?

Try it yourself

Real questions from this lesson's worksheets — answers below each one.

1. Range of f(x) = x² + (-15)
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   y ≥ -15
2. Range of f(x) = x² + (-14)
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   y ≥ -14
3. Domain of f(x) = 1/(x - 25)
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   x ≠ 25
4. Range of f(x) = x² + (-13)
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   y ≥ -13