TMUA 2020 Paper 1 Q5 — Worked Solution

P1·Functions, Transformations & Graphs·4.5Official · 2020 · Q5

completing-the-squareline-of-symmetrydiscriminant

The curve

S

has equation

y = p x^{2} + 6 x - q,

where

p

and

q

are constants.

S

has a line of symmetry at

x = - \frac{1}{4}

and touches the

x

-axis at exactly one point. What is the value of

p + 8 q

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