Q1 For A $\sim$ K in the following sentences, choose the correct answer from among choices (0) $\sim$ (9) below. (1) Consider the quadratic function $$y = a x ^ { 2 } + b x + c$$ whose graph is as shown in the figure at the right. Then $a , b$ and $c$ satisfy the following expressions: (i) $a \mathbf { A } 0 , b \mathbf { B } 0 , c \mathbf { C } 0$; (ii) $a + b + c \mathbf { D } 0$; (iii) $a - b + c \mathbf { E } 0$; (iv) $4 a + 2 b + c \mathbf { F } 0$; (v) $b ^ { 2 } - 4 a c \mathbf { G } 0$. (2) Given the condition that $a , b$ and $c$ satisfy (i) and (ii) in (1), consider the case where the value of $a ^ { 2 } - 8 b - 8 c$ is minimized. We see that $a = \mathbf { H }$. When we express $y = a x ^ { 2 } + b x + c$ in terms of $b$, we have $$y = \mathbf { H } x ^ { 2 } + b x - b + \mathbf { I } \text {. }$$ Also, we see that the range of the values of $b$ is $\mathbf { J } < b < \mathbf { K }$. (0) 0 (1) 1 (2) 2 (3) 3 (4) 4 (5) - 2 (6) - 4 (7) $>$ (8) $=$ (9) $<$
Q1 For A $\sim$ K in the following sentences, choose the correct answer from among choices (0) $\sim$ (9) below.
(1) Consider the quadratic function
$$y = a x ^ { 2 } + b x + c$$
whose graph is as shown in the figure at the right.
Then $a , b$ and $c$ satisfy the following expressions:\\
(i) $a \mathbf { A } 0 , b \mathbf { B } 0 , c \mathbf { C } 0$;\\
(ii) $a + b + c \mathbf { D } 0$;\\
(iii) $a - b + c \mathbf { E } 0$;\\
(iv) $4 a + 2 b + c \mathbf { F } 0$;\\
(v) $b ^ { 2 } - 4 a c \mathbf { G } 0$.\\
(2) Given the condition that $a , b$ and $c$ satisfy (i) and (ii) in (1), consider the case where the value of $a ^ { 2 } - 8 b - 8 c$ is minimized.
We see that $a = \mathbf { H }$. When we express $y = a x ^ { 2 } + b x + c$ in terms of $b$, we have
$$y = \mathbf { H } x ^ { 2 } + b x - b + \mathbf { I } \text {. }$$
Also, we see that the range of the values of $b$ is $\mathbf { J } < b < \mathbf { K }$.\\
(0) 0\\
(1) 1\\
(2) 2\\
(3) 3\\
(4) 4\\
(5) - 2\\
(6) - 4\\
(7) $>$\\
(8) $=$\\
(9) $<$