turkey-yks 2020 Q19

turkey-yks · Other · yks-ayt Completing the square and sketching Sign analysis of quadratic coefficients and expressions from a graph

Where $a, b$ and $c$ are real numbers,
$$y = ax^2 + bx + c$$
the parabola intersects the line $y = 1$ at points B and C, and intersects the line $y = 6$ at only point A. The locations of points A, B and C in the rectangular coordinate plane are shown in the figure below.
Accordingly, what are the signs of the numbers $a$, $b$ and $c$ respectively?
A) +, -, -
B) +, +, -
C) -, +, +
D) -, -, +
E) -, -, -

Where $a, b$ and $c$ are real numbers,

$$y = ax^2 + bx + c$$

the parabola intersects the line $y = 1$ at points B and C, and intersects the line $y = 6$ at only point A. The locations of points A, B and C in the rectangular coordinate plane are shown in the figure below.

Accordingly, what are the signs of the numbers $a$, $b$ and $c$ respectively?\\
A) +, -, -\\
B) +, +, -\\
C) -, +, +\\
D) -, -, +\\
E) -, -, -

Paper Questions

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