Summary (Grade 11 NSC Matric Mathematics): Quizzes

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For parabola y=ax2+bx+cy = ax^2 + bx + c, what happens when a<0a < 0?

Opens downward (inverted U)

In y=ax2+bx+cy = ax^2 + bx + c, what is the y-intercept?

(0;c)(0; c)

For y=a(x+p)2+qy = a(x + p)^2 + q, what is the turning point?

(−p;q)(-p; q)

What is the average gradient formula?

y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}

For y=kxy = \frac{k}{x} with k>0k > 0, which quadrants?

1st and 3rd

For y=kx+p+qy = \frac{k}{x+p} + q, what is the vertical asymptote?

x=−px = -p

For y=abxy = ab^x with a>0a > 0 and b>1b > 1, what type?

Increasing function

What is the period of y=asin⁡(kθ+p)+qy = a \sin(k\theta + p) + q?

360°∣k∣\frac{360°}{|k|}

Which identity shows cosine is an even function?

cos⁡(−θ)=cos⁡θ\cos(-\theta) = \cos\theta

What is the period of tangent compared to sine?

Shorter: 180°∣k∣\frac{180°}{|k|}

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