Understanding Reflections in Graphs

What is the domain of the function f(x) = √x?

• [0, ∞)

• (-∞, ∞)

• (-∞, 0]

• [0, 0]

How does the graph of g(x) = -√x differ from f(x) = √x?

• It is shifted to the right.

• It is shifted upwards.

• It is reflected over the y-axis.

• It is reflected over the x-axis.

What is the range of the function g(x) = -√x?

• (-∞, 0]

• [0, ∞)

• [0, 0]

• (-∞, ∞)

What is the domain of the function h(x) = √(-x)?

• [0, 0]

• [0, ∞)

• (-∞, 0]

• (-∞, ∞)

How does the graph of h(x) = √(-x) differ from f(x) = √x?

• It is reflected over the x-axis.

• It is reflected over the y-axis.

• It is shifted to the left.

• It is shifted downwards.

What happens to a graph when you take the opposite of all its y-values?

• It shifts to the right.

• It reflects over the y-axis.

• It reflects over the x-axis.

• It shifts upwards.

What happens to a graph when you take the opposite of all its x-values?

• It reflects over the y-axis.

• It shifts downwards.

• It shifts to the left.

• It reflects over the x-axis.

In the function g(x) = -(x-2)², what does the '-2' inside the parentheses indicate?

• A vertical shift downwards.

• A horizontal shift to the left.

• A vertical shift upwards.

• A horizontal shift to the right.

In the function g(x) = -(x-2)², what does the negative sign outside the parentheses indicate?

• A reflection over the y-axis.

• A reflection over the x-axis.

• A horizontal shift to the right.

• A vertical shift upwards.

What is the effect of a negative sign outside a function on its graph?

• It shifts the graph upwards.

• It reflects the graph over the x-axis.

• It shifts the graph to the left.

• It reflects the graph over the y-axis.