The most commonly occurring graphs are quadratic, cubic, reciprocal, exponential and circle graphs. Their equations can be used to plot their shape.

What will be the general shape of the graph y = 4 – x^{2}?

a U shape

a ∩ shape

a straight line

If y = x^{2} + 2x + 5, what is the value of y when x = -3?

8

-10

5

What is the equation of this graph?

y = x^{3}

y = x^{2}

y =

How many lines of symmetry does the graph y = have?

0

1

2

y = 2^{x}

y = 3^{x}

What is the equation of the circle with centre (0, 0) and radius 8 units?

y = 8x

x^{2} + y^{2} = 8

x^{2} + y^{2} = 64

Find the equation of the tangent to the circle x^{2} + y^{2} = 10 at the point (1, 3).

y = 3x + 10

Where does the graph of y = (x + 2)^{2} – 5 cross the y-axis?

-5

-2

-1

What is the turning point of the graph y = (x + 2)^{2} – 5?

(2, -5)

(2, 5)

(-2, -5)

A quadratic graph passes through the points (2, 0) and (-3, 0). A possible equation for this graph is:

y = (x + 2)(x – 3)

y = (x + 2)(x + 3)

y = (x – 2)(x + 3)