Quadratic Graphs and Real-Life Problems (Leaving Cert Mathematics): Quizzes

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Quadratic Graphs and Real-Life Problems
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What is the standard form of a quadratic function?

y=ax2+bx+cy = ax^2 + bx + c where a≠0a ≠ 0

When a>0a > 0 in a quadratic function, what shape does the parabola have?

Opens upward (U-shape) with minimum point

When a<0a < 0 in a quadratic function, what feature does the parabola have?

Opens downward with a maximum point

What is the first step when creating a function table?

Choose a range of x-values

For f(x)=4−3x−x2f(x) = 4 - 3x - x^2, what is the value of yy when x=−5x = -5?

−6-6

What is the vertex of a parabola?

The highest or lowest point

What is the y-intercept of a parabola?

Where it crosses the y-axis (x = 0)

In the temperature example, what is the maximum temperature reached?

6.25°C at 1 p.m.

In the temperature example, how long does the temperature stay above 0°C?

10 hours (8 a.m. to 6 p.m.)

In the projectile motion example, what maximum height does the ball reach?

12 metres

In the projectile example, how far away does the ball land from where it was thrown?

50 metres away

What is a common error when creating function tables?

Forgetting to square negatives correctly

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