Transformation of Quadratics

Front

What is the transformation of f(x) = x² + 5 compared to the parent function?

Back

Vertical shift up 5 units.

Front

If f(x) = x², what is the transformation of g(x) = x² - 5?

Back

Vertical shift down 5 units.

Front

How does the function y = 0.3x² compare to the parent function y = x²?

Back

Wider.

Front

What is the transformation of the function y = (x - 2)² + 2?

Back

Right 2 and up 2.

Front

How does the function y = 5x² compare to the parent function y = x²?

Back

Narrower.

Front

What does a positive 'a' value in y = ax² indicate about the parabola's direction?

Back

The parabola opens upwards.

Front

What does a negative 'a' value in y = ax² indicate about the parabola's direction?

Back

The parabola opens downwards.

Front

What is the effect of a horizontal shift in the function y = (x + 3)²?

Back

Shift left 3 units.

Front

What is the effect of a vertical shift in the function y = x² - 4?

Back

Shift down 4 units.

Front

What does the term 'vertex' refer to in a quadratic function?

Back

The highest or lowest point of the parabola.