4 Quadratics and polynomials

Consider the equation $y=3x^2+2$`y`=3`x`2+2.

a

Complete the table.

$x$x |
$-3$−3 | $-2$−2 | $-1$−1 | $0$0 | $1$1 | $2$2 | $3$3 |
---|---|---|---|---|---|---|---|

$y$y |
$\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |

b

Hence plot the graph of $y=3x^2+2$`y`=3`x`2+2.

Loading Graph...

Medium

Approx 3 minutes

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Explore the connection between algebraic and graphical representations of relations such as simple quadratic, reciprocal, circle and exponential, using digital technology as appropriate