Quadratic Graphs (AQA GCSE Maths): Quizzes

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Quadratic graphs
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What is the general form of a quadratic equation?

y=ax2+bx+cy = ax^2 + bx + c where a0a \neq 0

What is the name of the U-shaped curve formed by quadratic graphs?

Parabola

If the coefficient of x2x^2 is negative, which way does the parabola open?

Downward (∩-shape)

How do you find the x-intercepts of a quadratic graph?

Set y=0y = 0 and solve for xx

Where is the turning point located on a quadratic graph?

Halfway between the x-intercepts

What is the formula for the line of symmetry of y=ax2+bx+cy = ax^2 + bx + c?

x=b2ax = -\frac{b}{2a}

When a>0a > 0 in y=ax2+bx+cy = ax^2 + bx + c, what type of point is the turning point?

Minimum point

What effect does a larger value of a|a| have on a parabola?

Makes it steeper and narrower

How should quadratic graphs be drawn?

As smooth curves without sharp corners

What key property do all parabolas have?

Vertical line of symmetry

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