Induction: image and properties of quadratic function y = a (x + H) ² + k

Induction: image and properties of quadratic function y = a (x + H) ² + k

A > 0; opening upward; a < 0; opening downward;
The axis of symmetry is x = - H;
The vertex coordinates are (- H, K);
A > 0, monotonically decreasing in X ∈ (- H, - H), monotonically increasing in X ∈ (- H, + ∞);
A ＜ 0; monotonically increasing in X ∈ (- H, - H), monotonically decreasing in X ∈ (- H, + ∞);
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