Pencil Reflection #2

A concave mirror is modeled by the left half of the ellipse $\frac{(x-10)^2}{100}+\frac{y^2}{25}=1.$ If a pencil of length 6 is placed at a distance of 1.5 times the focal length from the mirror, at what $x$ -coordinate will an image form? By what degree $m$ will the pencil be magnified?

Note: The pencil is upright directly in front of the mirror.