Question

Part of the graph of the function f(x) = (x + 4)(x - 6) isshown below.Which statements about the function are true? Selecttwo optionsThe vertex of the function is at (1,-25).6The vertex of the function is at (1,-24).The graph is increasing only on the interval -4

Answer 1

The vertex of the function is (1, -25) Correct

Because

f(x) = (x + 4)(x - 6)

Substitution

-25 = (1 + 4)(1 - 6)

Simplification

-25 = (5)(-5)

Result

-25 = -25 As both sides of the equation are equal this option is true

5) The graph is negative on the entire interval - 4 < x < 6 because the graph is below the x-axis