Quadratic Functions (Grade 11 NSC Matric Mathematics): Quizzes

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Quadratic Functions
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For y=ax2+qy = ax^2 + q, what happens when a<0a < 0?

Opens downward with maximum turning point

In y=ax2+qy = ax^2 + q, what does parameter qq represent?

The y-intercept and vertical shift

For y=a(x+p)2+qy = a(x + p)^2 + q, if p>0p > 0, which direction does the parabola shift?

Left by pp units

What is the domain of any quadratic function f(x)=a(x+p)2+qf(x) = a(x + p)^2 + q?

{x:x∈R}\{x : x \in \mathbb{R}\}

For f(x)=−2(x−1)2+3f(x) = -2(x - 1)^2 + 3, what is the range?

{y:y≤3,y∈R}\{y : y \leq 3, y \in \mathbb{R}\}

What is the turning point of f(x)=3(x−1)2−4f(x) = 3(x - 1)^2 - 4?

(1;−4)(1; -4)

For f(x)=a(x+p)2+qf(x) = a(x + p)^2 + q, what is the axis of symmetry?

x=−px = -p

What happens as ∣a∣|a| increases in y=ax2+qy = ax^2 + q?

The parabola becomes narrower

How do you find the y-intercept of a quadratic function?

Substitute x=0x = 0 into the equation

To shift a parabola right by mm units, what replacement is made?

Replace xx with (x−m)(x - m)

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