Quadratic Functions Quiz (IM2 3.1 & 3.2)

What is the simplest quadratic function called?

• f(x) = x²

• f(x) = ax² + c

• f(x) = x + c

• f(x) = ax + b

What shape does the graph of f(x) = x² create?

• A circle

• A parabola

• A square

• A triangle

What is the lowest point of a parabola called?

• Vertex

• Focus

• Axis

• Directrix

If 'a' is positive in the function f(x) = ax², the parabola opens (a)  

• Upwards
• Downwards
• Sideways
• Horizontally

What happens to the parabola if |a| > 1 in the function f(x) = ax²?

• It becomes narrower

• It becomes wider

• It remains the same

• It disappears

Match the following transformations with their effects on the parabola in the function f(x) = ax².

• When 0 < |a| < 1

• The parabola becomes narrower.

• When |a| > 1

• The parabola shifts upwards.

• When a > 0 and c > 0 in f(x) = ax² + c

• The parabola shifts downwards.

• When a > 0 and c < 0 in f(x) = ax² + c

• The parabola becomes wider.

What does the 'a' value of -2 indicate in the function f(x) = -2x² + 3?

• The parabola opens upwards and is wider than f(x) = x².

• The parabola opens downwards and is narrower than f(x) = x².

• The parabola opens upwards and is narrower than f(x) = x².

• The parabola opens downwards and is wider than f(x) = x².

How does the 'c' value of +3 affect the function f(x) = -2x² + 3?

• It shifts the parabola down 3 units.

• It shifts the parabola up 3 units.

• It shifts the parabola left 3 units.

• It shifts the parabola right 3 units.

The vertex of the function f(x) = -2x² + 3 is (a)  

• (0, -3)
• (0, 0)
• (0, 3)
• (3, 0)

Which tool is recommended for experimenting with graphing quadratic functions?

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