Quadratics (AQA A-Level Mathematics): Quizzes

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Quadratic Graphs
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What is the general form of a quadratic function?

y=ax2+bx+cy = ax^2 + bx + c

What is the graph of a quadratic function called?

A parabola

If a>0a > 0 in y=ax2+bx+cy = ax^2 + bx + c, which way does the parabola open?

Upwards

If a<0a < 0, what shape does the parabola have?

Upside-down U

What is the formula for the x-coordinate of the vertex?

x=−b2ax = -\frac{b}{2a}

What is the y-intercept of y=ax2+bx+cy = ax^2 + bx + c?

(0,c)(0, c)

What is the equation of the axis of symmetry?

x=−b2ax = -\frac{b}{2a}

If a>0a > 0, what does the vertex represent?

Minimum point

If b2−4ac>0b^2 - 4ac > 0, how many x-intercepts are there?

Two distinct points

What happens when b2−4ac=0b^2 - 4ac = 0?

Parabola touches x-axis once

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Combinations of Transformations

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Further Modelling with Functions

Explore AQA A-Level Mathematics Model Answers by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore AQA A-Level Mathematics Flashcards by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore AQA A-Level Mathematics Exam Questions by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

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