Hong Kong
Stage 4 - Stage 5

# Non-Linear Graphs and Tables of Values

## Interactive practice questions

Consider the quadratic function $f\left(x\right)=x^2-2x-8$f(x)=x22x8.

a

Complete the following table of values.

 $x$x $-9$−9 $-3$−3 $0$0 $5$5 $9$9 $f\left(x\right)$f(x) $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Hence sketch the curve.

c

Choose all the correct statements.

The curve is steeper at $x=6$x=6 than at $x=1$x=1.

A

The curve is parabolic in shape and is concave up.

B

At the point $f\left(n\right)$f(n), the function takes the value of $n$n.

C

The curve has $x$x-intercepts at $-2$2 and $4$4.

D

At the point $n$n, the function takes the value of $f\left(n\right)$f(n).

E

As the value of $a$a is positive, the curve is concave down.

F
Easy
5min

Consider the quadratic function $f\left(x\right)=-3\left(x-3\right)\left(x+1\right)$f(x)=3(x3)(x+1).

Easy
5min

Consider the cubic function $f\left(x\right)=2x^3+4x^2$f(x)=2x3+4x2.

Easy
5min

Consider the cubic function $f\left(x\right)=2x^3-2$f(x)=2x32.

Easy
4min
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