Question

identifying key aspects of quadratic functions
place each of the key aspects under the function it describes.
range: {y| y ≥ 0}
h(x) = (x - 1)²
g(x) = -(x + 1)(x - 1)
decreasing over (-∞, 1)
increasing over (-∞, 0)
range: {y| y ≤ 1}
increasing over (1, ∞)
decreasing over (0, ∞ )

Explanation:

Answer:

For $h(x)=(x-1)^2$:
range: $\{y|y \geq 0\}$
decreasing over $(-\infty, 1)$
increasing over $(1, \infty)$

For $g(x)=-(x+1)(x-1)$:
range: $\{y|y \leq 1\}$
increasing over $(-\infty, 0)$
decreasing over $(0, \infty)$