Graphing and Solving Quadratic Equations — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet (Set 2)

Australian Curriculum (ACARA)

Grade 9

Mathematics

24 questions

Full mixed revision of graphing and solving quadratic equations (ACARA AC9M9A04).

Mix Questions

Preview the questions

Showing 5 of 24 questions from this worksheet.

Graphing and Solving Quadratic Equations

A mixed revision worksheet covering the key concepts of quadratic equations, including their graphs, features, and methods of solving. Total: 24 marks.

Section A: Multiple Choice Questions

Choose the one correct answer for each question. Each question is worth 1 mark.

What is the vertex of the parabola with the equation y = (x - 4)^2 + 5?

(-4, 5) (4, 5) (4, -5) (-4, -5)

Which of the following is the correct quadratic formula for solving ax^2 + bx + c = 0?

x = \frac{b \pm \sqrt{b^2 - 4ac}}{2a} x = \frac{-b \pm \sqrt{b^2 + 4ac}}{2a} x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2c} x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

The discriminant of a quadratic equation is calculated as \Delta = b^2 - 4ac. If the discriminant is greater than zero (\Delta > 0), how many real solutions does the equation have?

No real solutions One real solution Two distinct real solutions Infinitely many solutions

What are the x-intercepts of the graph of the equation y = x^2 - 7x + 10?

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

The axis of symmetry for a parabola given by y = ax^2 + bx + c is a vertical line. What is its equation?

x = \frac{b}{2a} x = -\frac{b}{a} x = -\frac{b}{2a} y = c

Section B: True or False

Determine if the following statements are true or false. Each question is worth 1 mark.

Section C: Fill in the Blanks

Complete the following statements. Each question is worth 1 mark.

Section D: Short Answer

Write your answer in the space provided. Each question is worth 1 mark.

19 more questions in the full worksheet

Create a free account to open all 24 questions, download the printable PDF with its answer key, assign it online, or remix it at a different difficulty.

Unlock the full worksheet Log in

No credit card required · Printable PDF · Auto-graded online assignments

Related worksheets

More Mathematics practice at Grade 9 level.

Grade 9 Mathematics

Variation of Parameters in Functions and Relations (Set 2)

Full mixed revision of variation of parameters in functions and relations (ACARA AC9M9A06).

24 questions Preview →

Grade 9 Mathematics

Variation of Parameters in Functions and Relations (Set 1)

Generalising emerging patterns from the variation of parameters on functions and relations (ACARA AC9M9A06), from a pattern-generalisation angle.

40 questions Preview →

Grade 9 Mathematics

Variation of Parameters in Functions

Experimenting with the effects of variation of parameters on graphs of related functions using digital tools, making connections between graphical and algebraic representations (ACARA AC9M9A06), from a parameter-exploration angle.

40 questions Preview →

Grade 9 Mathematics

Mathematical Modelling with Linear and Quadratic Functions (Set 1)

Full mixed revision of mathematical modelling with linear and quadratic functions (ACARA AC9M9A05).

24 questions Preview →

Grade 9 Mathematics

Mathematical Modelling with Linear and Quadratic Functions (Set 2)

Using mathematical modelling to solve problems involving change in financial and other applied contexts, choosing to use linear or quadratic functions, interpreting solutions and evaluating the model (ACARA AC9M9A05), from a modelling angle.

40 questions Preview →

Grade 9 Mathematics

Solving Monic Quadratic Equations

Solving monic quadratic equations with integer roots algebraically (ACARA AC9M9A04), from an algebraic-solving angle.

40 questions Preview →