If f(x) = ax2 + bx + c and the following conditions are satisfied, what can you

Question

If f(x) = ax2 + bx + c and the following conditions are satisfied, what can you say about the values of a, b, and c? (Select all that apply.) (a) The point (1, 1) is on the graph of f. a = 1 a + b = 1 a + b + c = 2 a + b + c = 1 none of these Incorrect: Your answer is incorrect. (b) The y-intercept is 4. a = 4 c = 4 a + c = 4 b + c = 4 none of these Correct: Your answer is correct. (c) The vertex is (1, 1). a + b = 1 a b = 1 c a = 1 2a + b = 0 none of these Incorrect: Your answer is incorrect. (d) Conditions (a), (b), and (c) are all satisfied.a = 3 b = 6 c = 4 a + b + c = 2 none of these Incorrect: Your answer is incorrect.

Explanation / Answer

f(x)=ax2+bx+c

At point (1,1)

1=a+b+c

Correct option is a+b+c=1

2. Y intercept is 4 means value of f(x) at x=0 is 4

4=a(0) +b(0)+c

c=4

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