The graph of y=ax^(2)+bx+c is given as shown. Which of the following is / are true?
I. a

Question

The graph of y=ax^(2)+bx+c is given as shown. Which of the following is / are true?
I. a<0
II. b<0
III. c<0

A. I only 
B. I and II only
C. I and III only
D. II and III only
E. I, II and III

anonymous · Answer

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kira_yamato · Answer

(C)
c < 0 as graph cuts y-axis below the x-axis
a < 0 because graph is frowning curve

anonymous · Answer

E)
inverted U shape meaning a<0

intersecting y axis at negative means C is less than 0 c<0

and also there is shift along x axis in right direction means b<0

kira_yamato · Answer

Overlooked the detail for b<0... Sorry

anonymous · Answer

I am confusing why b>0 is correct

sirm3d · Answer

the line of symmetry x = -b/2a, is a positive value, and we know a < 0 so b > 0

anonymous · Answer

I am sorry that I type it wrongly.
It should be : "I am confusing why b<0 is correct"

sirm3d · Answer

b > 0 is correct.

anonymous · Answer

why

anonymous · Answer

a<0 because parabola opens downward