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.

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absor201 absor201 · Answer 1 · 2021-01-19T13:34:19+01:00

Answer:

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

Option D is correct option.

Step-by-step explanation:

We are given:

[tex]y = x^2[/tex]

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

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:

[tex]y=x^2[/tex] is transformed into [tex]y=x^2+9[/tex]

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.