Graphs of quadratic functions (AQA GCSE Further Maths): Quizzes

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Graphs of quadratic functions
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What shape does a quadratic function create when graphed?

A parabola

What determines the direction a parabola opens?

Coefficient of x2x^2

For y=3x2+2x1y = 3x^2 + 2x - 1, which way does the parabola open?

Upward

When a<0a < 0 in y=ax2+bx+cy = ax^2 + bx + c, what is the vertex?

The highest point

What is the vertex of a parabola?

The turning point

In y=2x25x+7y = 2x^2 - 5x + 7, what is the y-intercept?

77

Where does the line of symmetry pass through on a parabola?

Through the vertex

If a parabola's vertex is at (4,2)(4, -2), what is its line of symmetry?

x=4x = 4

What form results from completing the square?

(x+p)2+q(x + p)^2 + q

For y=(x+5)23y = (x + 5)^2 - 3, what are the vertex coordinates?

(5,3)(-5, -3)

What property helps check if points are on the parabola?

Symmetry about line of symmetry

When x=0x = 0, what value do you find?

The y-intercept

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