Question

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 9 Shift the graph of y = x2 left 9 units. Shift the graph of y = x2 right 9 units. Shift the graph of y = x2 down 9 units. Shift the graph of y = x2 up 9 units.​

Answer 1

Shift of graph of y=x^2 up 9 units.

Option D is correct option.

Explanation:

We are given:

`y = x^2`

We need to describe how the graph of
`y = x^2` can be transformed to the graph of the given equation
`y=x^2+9`

We know the transformation rule:

If f(x) is transformed into f(x)+h, the graph is transformed vertically up h units.

So, In our case:

`y=x^2` is transformed into
`y=x^2+9`

So, The graph is transformed vertically up 9 units.

Or we can write, shift of graph of y=x^2 up 9 units.

Option D is correct option.