Answer:
y=[tex]\frac{1}{10} x^2[/tex]
Step-by-step explanation:
You're partially correct.
Let me explain:
When a parabola is scaled vertically, think of it this way: a parabola is being stretched up or smooshed downwards, by some math god who can defy all forms of life and dimensions.
When a parabola, in y=a[tex]x^{2}[/tex], is shifted vertically, when a>1, it appears 'skinnier'. The parabola went on a diet! However, when 0<a<1, the parabola seems wider and fat.
Knowing this knowledge, when factored vertically by a factor of x, it means that it is the coefficient of the parent graph y=a[tex]x^{2}[/tex], which means 1/10 goes before [tex]x^{2}[/tex].
Summing all of this up, your answer would have the equation of the new parabola as y=[tex]\frac{1}{10} x^2[/tex]
