Question

Which statement is correct with respect to f(x) = -3|x − 1| + 12?

A.
The V-shaped graph opens upward, and its vertex lies at (-3, 1).

B.
The V-shaped graph opens downward, and its vertex lies at (-1, 3).

C.
The V-shaped graph opens upward, and its vertex lies at (1, -12).

D.
The V-shaped graph opens downward, and its vertex lies at (1, 12).

Answer 1

The V-shaped graph opens downward, and its vertex lies at (1, 12).

Explanation:

• first, plot the graph of f(x),

• take some 5 random negative and positive x values and then find corresponding f[x] values.plot f(x) on y-axis. now, plot these points on the graph and finally join all the points. this gives u the required graph.

• I have plotted the graph and uploaded it.

refer it.

• by seeing the graph, we can easily say that,The V-shaped graph opens downward, and its vertex lies at (1, 12).