colossal canyon was formed in the shape of a parabola.The graph below shows the shape of the canyon.What interval is the function increasing?
A=all real numbers
B=
[tex] - 3 \leqslant x \leqslant - 6[/tex]
C=
[tex]3 \leqslant x \leqslant 6 [/tex]
D=
[tex]0 \leqslant x \leqslant 3[/tex]

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colossal canyon was formed in the shape of a parabolaThe graph below shows the shape of the canyonWhat interval is the function increasingAall real numbers Btex class=

Respuesta :

Answer:

The function increasing ⇒ 3 ≤ x ≤ 6 answer C

Step-by-step explanation:

∵ The vertex of the parabola is (3 , -6)

∴ The minimum value = -6 at x = 3

∵ The left part of the parabola is decreasing because the value of y decreased from 3 to -6 when 0 ≤ x ≤ 3

∵ The right part of the parabola is increasing because the value of y  increased from -6 to 3 when 3 ≤ x ≤ 6

∴ The function is increasing at interval  3 ≤ x ≤ 6