Question

Is the equation of the new parabola 0.1? Please let me know because I’m confused.

Answer 1

Scaled vertically means not reflected over x axis .

• y=x^2

Here

• a=1

Now it's vertically scaled

so

• |a|=1/10=0.1

New equation

• y=0.1x^2

Answer 2

y=
`(1)/(10) x^2`

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
`x^(2)`, 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
`x^(2)`, which means 1/10 goes before
`x^(2)`.

Summing all of this up, your answer would have the equation of the new parabola as y=
`(1)/(10) x^2`