2025年6月27日 星期五

DSE Quadratic Equation

A quadratic equation in one unknown \( x \) is an equation of the form
\[ax^2 + bx + c = 0,\]
where \( a \), \( b \) and \( c \) are real numbers and \( a \neq 0 \).

[DSE 2023 II Q10]
Which of the following statements about the graph of $y = 5 + (x - 3)^2$ is true?
A. The graph opens downwards.
B. The x-intercept of the graph is 3.
C. The y-intercept of the graph is 5.
D. The graph passes through the point (3, 5).


opens downwards?

As $x\to\infty$, $y\to\infty$, because

When $a>0$, the parabola opens upwards.