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Characteristics of Quadratics (HSC SSCE Mathematics Advanced): Quizzes

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Characteristics of Quadratics

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Why must $a \neq 0$ in quadratic function $f(x) = ax^2 + bx + c$ ?

It becomes a linear function if $a = 0$

For $f(x) = -3x^2 + 5x - 2$ , what is the concavity?

Concave down (frown)

What is the y-intercept of $f(x) = 2x^2 - 7x + 4$ ?

$(0, 4)$

What is the axis of symmetry for $f(x) = 2x^2 + 8x + 3$ ?

$x = -2$

For $y = 3(x - 5)(x + 2)$ , what are the x-intercepts?

$x = 5$ and $x = -2$

If the discriminant $\Delta = -7$ , how many x-intercepts does the parabola have?

No x-intercepts

What are x-intercepts also called?

Roots, zeroes, or solutions

What is the domain of any quadratic function?

$\mathbb{R}$ (all real numbers)

For $a > 0$ with vertex at $(2, -3)$ , what is the range?

$[-3, \infty)$

If $\Delta = 16$ for a quadratic, how many x-intercepts exist?

Two distinct x-intercepts

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Characteristics of Quadratics (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

Why must a≠0a \neq 0a=0 in quadratic function f(x)=ax2+bx+cf(x) = ax^2 + bx + cf(x)=ax2+bx+c?

For f(x)=−3x2+5x−2f(x) = -3x^2 + 5x - 2f(x)=−3x2+5x−2, what is the concavity?

What is the y-intercept of f(x)=2x2−7x+4f(x) = 2x^2 - 7x + 4f(x)=2x2−7x+4?

What is the axis of symmetry for f(x)=2x2+8x+3f(x) = 2x^2 + 8x + 3f(x)=2x2+8x+3?

For y=3(x−5)(x+2)y = 3(x - 5)(x + 2)y=3(x−5)(x+2), what are the x-intercepts?

If the discriminant Δ=−7\Delta = -7Δ=−7, how many x-intercepts does the parabola have?

What are x-intercepts also called?

What is the domain of any quadratic function?

For a>0a > 0a>0 with vertex at (2,−3)(2, -3)(2,−3), what is the range?

If Δ=16\Delta = 16Δ=16 for a quadratic, how many x-intercepts exist?

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

Why must $a \neq 0$ in quadratic function $f(x) = ax^2 + bx + c$ ?

For $f(x) = -3x^2 + 5x - 2$ , what is the concavity?

What is the y-intercept of $f(x) = 2x^2 - 7x + 4$ ?

What is the axis of symmetry for $f(x) = 2x^2 + 8x + 3$ ?

For $y = 3(x - 5)(x + 2)$ , what are the x-intercepts?

If the discriminant $\Delta = -7$ , how many x-intercepts does the parabola have?

For $a > 0$ with vertex at $(2, -3)$ , what is the range?

If $\Delta = 16$ for a quadratic, how many x-intercepts exist?