Solution assignment 05 Quadratic functions and graphs

The $y$ -coordinate of the top of the parabola:

$y=px^2+px+5$

is equal to $4$ .

Calculate $p$ .

The $x$ -coordinate of the top can be calculated from:

$x_{top}=-\displaystyle\frac{b}{2a}=-\displaystyle\frac{p}{2p}=-\displaystyle\frac{1}{2}$

We find the corresponding $y$ -coordinate by substituting this $x$ -coordinate in the equation of the parabola:

$4=p(-\displaystyle\frac{1}{2})^2-\displaystyle\frac{1}{2}p+5$

$p=4$