tmua 2020 Q5

tmua · Uk · paper1 1 marks Completing the square and sketching Determining coefficients from given conditions on function values or geometry

The curve $S$ has equation
$$y = px^2 + 6x - q$$
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 $p + 8q$?
A $6$
B $18$
C $21$
D $25$
E $38$

..... 7

The curve $S$ has equation

$$y = px^2 + 6x - q$$

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 $p + 8q$?

A $6$

B $18$

C $21$

D $25$

E $38$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20