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Linear, Quadratic and Cubic Functions (HSC SSCE Mathematics Advanced): Quizzes

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Linear, Quadratic and Cubic Functions

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What is the domain of a function?

Set of all possible $x$ -values

In $g(x) = f(x - a) + b$ , what does $a > 0$ indicate?

Horizontal shift right

How is a quadratic reflected over the $x$ -axis?

$g(x) = -f(x)$

For dilation $g(x) = lf(x)$ , when does the graph stretch?

When $|l| > 1$

In $y = a(x - h)^2 + k$ , what does $(h, k)$ represent?

The vertex

If $a = -2$ in $g(x) = -2(x - 1)^2 + 3$ , which is true?

Parabola opens downward with maximum

What order should combined transformations be applied?

Dilation/reflection first, then translation

How should the $y$ -intercept always be calculated?

By substituting $x = 0$

What effect does translation have on a linear function's slope?

No effect - slope stays the same

Where is the stationary point after vertical dilation of $f(x) = x^3$ ?

At the origin $(0, 0)$

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Linear, Quadratic and Cubic Functions (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What is the domain of a function?

In g(x)=f(x−a)+bg(x) = f(x - a) + bg(x)=f(x−a)+b, what does a>0a > 0a>0 indicate?

How is a quadratic reflected over the xxx-axis?

For dilation g(x)=lf(x)g(x) = lf(x)g(x)=lf(x), when does the graph stretch?

In y=a(x−h)2+ky = a(x - h)^2 + ky=a(x−h)2+k, what does (h,k)(h, k)(h,k) represent?

If a=−2a = -2a=−2 in g(x)=−2(x−1)2+3g(x) = -2(x - 1)^2 + 3g(x)=−2(x−1)2+3, which is true?

What order should combined transformations be applied?

How should the yyy-intercept always be calculated?

What effect does translation have on a linear function's slope?

Where is the stationary point after vertical dilation of f(x)=x3f(x) = x^3f(x)=x3?

Explore HSC SSCE Mathematics Advanced Revision Notes by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

In $g(x) = f(x - a) + b$ , what does $a > 0$ indicate?

How is a quadratic reflected over the $x$ -axis?

For dilation $g(x) = lf(x)$ , when does the graph stretch?

In $y = a(x - h)^2 + k$ , what does $(h, k)$ represent?

If $a = -2$ in $g(x) = -2(x - 1)^2 + 3$ , which is true?

How should the $y$ -intercept always be calculated?

Where is the stationary point after vertical dilation of $f(x) = x^3$ ?