1 of 8 0-day streak

Interpret and determine a transformed power function

Question 1 of 8

No calculator

Use the power form to describe the graph and its intercepts

Consider the power function \(y=3(x)^{9}-3\) for real x

For the final calculation, use the displayed value \(x=0\)

Use exact values

In every feature or scale entry, \(a\), \(h\) and \(k\) refer to the canonical form \(y=a(x-h)^n+k\). Simplify any inner multiplier before identifying \(a\). Enter multiple horizontal-axis intercepts in increasing order

(a)1 mark

Which description matches the exponent parity and centre?

The graph falls from left to right. The centre data are unchanged

The graph has point symmetry about \((0,-3)\) and a stationary point of inflection there

The centre is a turning point and the graph has line symmetry

The graph is symmetric about \(x=0\) and has a turning point at \((0,-3)\)

(b)6 marks

Complete the feature table using exact values

\(n\) \(a\) \(h\) \(k\) \(y\)-intercept value horizontal-axis intercept 1

Evaluate the displayed rule at \(x=0\)

\(f(0)\)