Graphs and curve sketching

Here is a sketch of y = x² + bx + c The graph passes through (– 1, 0) and (5, 0)

Work out the values of b and c.

Here are four sketch graphs.

Circle the letter of the sketch graph that represents y = 5^x

A function f is given by

A sketch of y = f(x) is shown.

Work out the values of a and b.

Circle the coordinates of the point where the curve crosses the y-axis.

(– 5, 0)
(0, – 5)
(– 13, 0)
(0, – 13)

Write down the coordinates of the maximum point of the curve.

f is a cubic function. The curve y = f(x) has a minimum point at (a, 0) and a maximum point at (1, b)

Tick one box for each statement.

Here is a sketch of the curve y = ax² + bx + c where a, b and c are constants. The curve intersects the x-axis at (– 4, 0) and (p, 0) The turning point has x-coordinate 0.5

Work out the value of p.

Solve ax² + bx + c 0

g(x) = 6 – 3 x

y = f(x) is the graph of a cubic function.

The function is

Draw a possible sketch of y = f(x) for values of x from – 2 to 6