The missing reason is you didn't put the actual question on here.
please show the full question.
Answer:
combined variation
Step-by-step explanation:
we have

we know that
a)<u> in the interval </u>----> (0,∞)
If the value of x increase the value of y increase
so
Is a direct variation
b) <u>in the interval -</u>---> (-∞,0)
If the value of x increase the value of y decrease
so
Is a inverse variation
therefore
Is a combined variation
Hello :
x²-2x-24 =( x²-2x+1)-1-24
= (x-1)² -25 ..... ( vertex form)
<span>. Vertex: (1, -25);
intercepts: x = 6, -4 because :
</span>f(x) = 0..... (x-1)² -25 =0
(x-1)² = 5²
x-1=5 or x-1 = -5
x=6 or x=-4