Q2 - Alg 2 - Hw #06

A dilation is a transformation that alters the size of a figure but not its shape, scaling it up or down from a center point.

This represents a vertical stretch, which is a type of dilation.

This represents a vertical compression, which is also a type of dilation.

A horizontal dilation stretches or compresses the graph horizontally, affecting the x-coordinates of points on the graph.

The graph of the function is stretched away from the origin by a factor of 2.

A dilation changes the size of a figure, while a translation shifts the figure's position without altering its size or shape.

The general form of a quadratic function is $$f(x) = ax^2 + bx + c$$ where a, b, and c are constants.

The value of 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).

The vertex can be found using the formula $$x = -\frac{b}{2a}$$ , and the corresponding y-coordinate can be found by substituting this x value back into the function.

The axis of symmetry is a vertical line that passes through the vertex of the parabola, given by the equation $$x = -\frac{b}{2a}$$ .