Quadratic Functions And Graphs

Question 1

Sketching quadratic graphs

Answer 1

Up of down?

Axes

Maximum or minimum

Sketch the graph + label

Question 2

Up or down?

Answer 2

If coefficient of x2 is positive graph is U shaped

Like smile

Question 3

Axes

Answer 3

Find where curve crosses y axis (set x=0) and x axis (set y=0)

Question 4

Minimum or maximum

Answer 4

Find these points by knowing it is halfway between the roots (x=0) or by completing the square…

Question 5

Sketch graph

Answer 5

Remember to label

Question 6

When asked for function that doesn’t have real root:

Answer 6

Complete the square.

Find result when making bracket 0. Which tells you the minimum or maximum of the graph depending on what the coefficient is.

Then say:

F(x) can never be neg or pos depending on coefficient.

The graph of f(x) never crosses the x axis

Conclusion function has no real roots