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 \(y=-(x+\frac{3}{2})^{4}-3\) for real x

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

Use exact values

(a)1 mark

Which description matches the exponent parity and centre?

The graph has point symmetry about (-\frac{3}{2},-3) and a stationary point of inflection there.

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

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

The graph is symmetric about x=-\frac{3}{2} and has a turning point at (-\frac{3}{2},-3).

(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 \(x=0\)

\(f(0)\)