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9 Cards in this Set

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  • Back

What is the discriminant?

b² - 4ac

What does the discriminant show us?

How many times the parabola crosses the x axis.

What does it mean if b² - 4ac is less than 0 ?

There are no real roots and the parabola is above or below the x acis but doesn't cross it.

What does it mean if b² - 4ac = 0 ?

There is one repeated root so the parabola hits the x axis and bounces off.

What does it mean if b² - 4ac is more than 0 ?

There are two real roots and the parabola crosses the x axis at two points.

How do we know if the graph is a u or n shape?

If the x² coefficient is positive, it is a u shape, if it's negative, it's an n shape.

How do you find the y intercept?

Look at the number for c.

How do you find where it crosses the x axis?

Factorise

How do you find the vertex of the parabola?

Complete the square and use the whole numbers as co-ordinates. Change the sign of the number in brackets