Quadratic Functions General Expression Quiz

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8 Questions

How are the x-axis intercepts determined for the quadratic equation ax² + bx + c = 0?

By solving the equation ax² + bx + c = 0

What is the equation of the axis of symmetry for a quadratic equation ax² + bx + c = 0?

x = -\frac{b}{2a}

What is the discriminant used for in a quadratic equation ax² + bx + c = 0?

To determine the number of solutions

How can you determine the number of solutions for a quadratic equation using the discriminant A = b² - 4ac?

By analyzing the sign of the discriminant

What does a positive discriminant indicate for a quadratic equation ax² + bx + c = 0?

Two real solutions

What does a zero discriminant indicate for a quadratic equation ax² + bx + c = 0?

One real solution

What does a negative discriminant indicate for a quadratic equation ax² + bx + c = 0?

No real solutions

In the context of a quadratic equation, what does the number of solutions refer to?

The number of times the graph intersects the x-axis

Test your knowledge on quadratic functions by identifying the general expression for a quadratic function y = ax² + bx + c. Topics covered include quadratic functions, mathematical methods, VCE units, and chapter 3 review.

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