TOTAL 22 marks
- The plots shows the curve $y=x^2+4x-1$
- Use the formula to solve the equation $x^2+4x-1=0$ giving your answers to 2 d.p.
- $x^2+4x-1=k$ has no solutions, where k is an integer. Use the plot above to find the maximum value of k
[4 marks]
- Complete the square $x^2+8x-4$ and use your answer to solve $x^2+8x-4=0$, leaving your answers in surd form
[3 marks]
- Y varies indirectly as the square root of x. If y=7 when x=4, then:
- Find a formula for y in terms of x
- Find y when x=10 to 3 s.f.
- Find x when y=2.2
[4 marks]
- Find the image of the point (-2, -3) under the transformation represented by M
$M =
\begin{pmatrix}
4 & -3 \\
-5 & -7
\end{pmatrix}$
[2 marks]
- Find the 2x2 matrix which represents a reflection in the x axis.
[2 marks]
- Write $2x^2+6x -3$ in the form $a(x+b)^2 +c$.
[3 marks]
- Draw up a table of values for $-2 \leq x \leq 3$ for the function $y=x^3 -2x^2+x-3$ and use it to sketch the curve neatly (and with appropriate scales).
[4 marks]
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