1 of 8 0-day streak

Interpret and determine a transformed power function

Question 1 of 8

No calculator

Read the transformed power rule and record its features

Consider the power function \(y=-\frac{1}{2}(x-1)^{6}-2\) 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 is symmetric about \(x=1\) and has a turning point at \((1,-2)\)

The graph has point symmetry about \((1,-2)\) and a stationary point of inflection there

Both ends rise as x moves away from the centre. The centre data are unchanged

The centre is a stationary point of inflection and the graph has point symmetry

(b)6 marks

Complete the feature table using exact values

\(n\) \(a\) \(h\) \(k\) symmetry line \(x\)-coordinate \(y\)-intercept value

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

\(f(0)\)