Question

WILL MARK BRAINLIEST Describe the change in the graph of the parabola f(x) when it transforms into g(x) = −3f(x). The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x). The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x). The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x). The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Answer 1

Answer: a) opposite direction and narrower

Step-by-step explanation:

g(x) = -3 f(x)

• Negative represents a reflection across the x-axis.
• 3 represents a vertical stretch by a factor of 3

A reflection means it opens in the opposite direction

If f(x) is U-shaped, then g(x) is ∩-shaped.

A vertical stretch means g(x) will be narrower than f(x).

If f(x) has a width of U, then g(x) will have a width of ∪.

Answer 2

Answer:

a.

Step-by-step explanation: