Question

Dilations are another way to transform quadratic functions. In addition dilation, the parent function is _____ by a given value and can be presented by ____ where a ≠ 0.

Answer 1

Answer: In dilation, the parent function is scaled or stretched by a given value, and can be presented by the equation y = a*x^2 where "a" is the dilation factor and a ≠ 0.

When a > 1, the dilation stretches the graph vertically, making the parabola narrower and taller. When a < 1, the dilation compresses the graph vertically, making the parabola wider and shorter. When a is negative, the dilation reflects the graph across the x-axis.

Explanation: