Question

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=
$- 3 \leqslant x \leqslant - 6$
C=
$3 \leqslant x \leqslant 6$
D=
$0 \leqslant x \leqslant 3$

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Answer 1

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