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Flashcards · Maths · Graphs

Quadratic Graphs

16 cards

  1. What is the graph of a quadratic called?

    A parabola.

  2. What shape is a parabola with a positive \(x^2\) term?

    A U shape.

  3. What shape is a parabola with a negative \(x^2\) term?

    An upside-down U.

  4. What are the roots of a quadratic graph?

    Where the curve crosses the \(x\)-axis.

  5. What is the turning point?

    The lowest point of a U-shaped curve, or the highest of an upside-down U.

  6. Where is the line of symmetry of a parabola?

    Vertically through the turning point, halfway between the roots.

  7. What is the \(y\)-intercept of \(y = x^2 - 2x - 3\)?

    \(-3\).

  8. How do you solve \(x^2 - 2x - 3 = 0\) from its graph?

    Read the \(x\)-values where the curve crosses the \(x\)-axis.

  9. How do you solve \(x^2 - 2x - 3 = -3\) from the graph?

    Draw \(y = -3\) and read the \(x\)-values where it meets the curve.

  10. What is \((-2)^2\)?

    4, because a negative times a negative is positive.

  11. What is \(y\) when \(x = -2\) on \(y = x^2 - 2x - 3\)?

    \(4 + 4 - 3 = 5\).

  12. How should the curve be drawn?

    With a smooth freehand line through the points.

  13. If the roots are 1 and 5, what is the line of symmetry?

    \(x = 3\).

  14. What is the turning point of \(y = (x - 3)^2 - 4\) (Higher tier)?

    \((3, -4)\).

  15. What does a quadratic usually have, one solution or two?

    Two.

  16. Where is \(x^2 - 2x - 3\) negative?

    Between the roots, for \(-1 < x < 3\).