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Mathematics Functions and Trigonometry Review
Mathematics
This document covers various mathematical topics including quadratic functions (parabolas), exponential functions, and trigonometric concepts like the sine rule. It includes definitions, properties, formulas, and worked examples for each topic.
Functions
Trigonometry
Algebra
23 Questions
Medium
Ages 14+
Aug 25, 2026
About this Study Set
This study set covers Mathematics through
23 practice questions.
This document covers various mathematical topics including quadratic functions (parabolas), exponential functions, and trigonometric concepts like the sine rule. It includes definitions, properties, formulas, and worked examples for each topic. Every question includes the correct answer so you can learn as you go — pick any format above to get started.
Questions & Answers
Browse all 23 questions from the
Mathematics Functions and Trigonometry Review study set below.
Each question shows the correct answer — select a study format above to practice interactively.
1
What is the general form of a quadratic function?
-
A
y = ax + b
-
B
y = a(x-p)^2 + q
-
C
y = ab^x
-
D
y = mx + c
2
What does 'a' represent in the vertex form of a parabola, y = a(x-p)^2 + q?
-
A
The y-coordinate of the turning point
-
B
The x-coordinate of the turning point
-
C
The concavity and width of the parabola
-
D
The y-intercept
3
If 'a' is positive in a quadratic function, the parabola is:
-
A
Concave down
-
B
Concave up
-
C
A straight line
-
D
A hyperbola
4
What is the domain of a quadratic function?
-
A
y >= q
-
B
y <= q
-
C
xER
-
D
x > 0
5
What is the range of a quadratic function with a positive 'a' and turning point (p, q)?
-
A
y <= q
-
B
y >= q
-
C
xER
-
D
yER
6
What is the turning point of the parabola y = -2(x-2)^2 + 8?
-
A
(2, 8)
-
B
(-2, 8)
-
C
(2, -8)
-
D
(-2, -8)
7
What is the length of OD if O is (0,0) and D is (-4,0)?
-
A
2 units
-
B
4 units
-
C
8 units
-
D
12 units
8
For an exponential function y = a * b^x, what is the condition for b?
-
A
b > 0
-
B
b < 0
-
C
b = 1
-
D
b > 1
9
What is the characteristic of the graph of an exponential function where b > 1?
-
A
It extends indefinitely in the negative x-direction
-
B
It has a horizontal asymptote at y=0
-
C
It decreases as x increases
-
D
It has a vertical asymptote
10
What is the range of an exponential function y = a * b^x where b > 1 and a > 0?
-
A
y <= 0
-
B
y < 0
-
C
y > 0
-
D
yER
11
What is the Sine Rule used for?
-
A
Finding the area of a triangle
-
B
Relating sides and angles in any triangle
-
C
Calculating the cosine of an angle
-
D
Solving quadratic equations
12
The Sine Rule states: a/sin A = b/sin B = c/sin C. When is it typically applied?
-
A
When two sides and the included angle are known
-
B
When two angles and one side are known
-
C
When all three sides are known
-
D
When it's a right-angled triangle
13
What is the formula for the area of a triangle using trigonometry if two sides and the included angle are known?
-
A
1/2 * base * height
-
B
1/2 * ab * sin C
-
C
sqrt(s(s-a)(s-b)(s-c))
-
D
a^2 + b^2 = c^2
14
What is the general form of a hyperbola function mentioned in the text?
-
A
y = ax^2 + bx + c
-
B
y = a * b^x
-
C
y = a/x
-
D
y = ab^x + c
15
For a hyperbola function, what are the possible values for the range if the graph is positive?
-
A
y > q
-
B
y < q
-
C
yER
-
D
y != 0
16
What is the axis of symmetry for a hyperbola function when it's negative?
-
A
Positive axis of symmetry
-
B
Negative axis of symmetry
-
C
y-axis
-
D
x-axis
17
In the context of sketching a parabola y = ax^2 + bx + c, if a > 0, b < 0, and c > 0, what does this suggest about the graph?
-
A
The parabola opens downwards and has no real roots
-
B
The parabola opens upwards and has a positive y-intercept
-
C
The parabola opens downwards and has a negative y-intercept
-
D
The parabola opens upwards and has no real roots
18
If b^2 - 4ac < 0 for a quadratic equation, what does this imply about the roots of the quadratic function?
-
A
Two distinct real roots
-
B
One repeated real root
-
C
No real roots
-
D
Infinitely many roots
19
What is the condition for a function to be concave down?
-
A
The second derivative is positive
-
B
The second derivative is negative
-
C
The first derivative is positive
-
D
The first derivative is negative
20
What does 'vertical shift' refer to in function transformations?
-
A
Moving the graph left or right
-
B
Moving the graph up or down
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C
Stretching or compressing the graph
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D
Reflecting the graph
21
What is the 'simple form' of an exponential function mentioned?
-
A
y = ax^2 + bx + c
-
B
y = a(x-p)^2 + q
-
C
y = a * b^x
-
D
y = mx + c
22
What is the definition of 'domain' in the context of functions?
-
A
The set of all possible output values (y-values)
-
B
The set of all possible input values (x-values)
-
C
The turning point of the graph
-
D
The y-intercept
23
What is the definition of 'range' in the context of functions?
-
A
The set of all possible input values (x-values)
-
B
The set of all possible output values (y-values)
-
C
The x-intercept
-
D
The slope of the graph
