Question

Part of the graph of the function f(x) = (x + 4) (x - 6) is shown below. A 2 Which statements about the function are truc? Select two options.

Answer 1

The true options include the following:

• The vertex of the function is at (1,–25).

• The graph is negative on the entire interval –4 < x < 6.

What is a Graph?

This is defined as a pictorial representation of data or variables in an organized manner.

Function f(x) = (x + 4)(x – 6)

Graph intersects the x-axis at points (-4,0) and (6,0).

x-coordinate of vertex = -4+6/2 = 1

y-coordinate of vertex = (1+4) (1-6) = 5(-5) = -25

The vertex is at the point (1,-25).

The graph is positive for all x< -4 or x>6.

The graph is negative for –4 < x < 6.

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