Question

The graph shown is a translation of the graph of ​f(x)=x^2. Write the function in vertex form.

Answer 1

`\sf \longrightarrow \: f(x) = {x}^(2)`

Write the parent function in the standard form I.e.

`\boxed{ \tt \:y =a(x - h) * 2 + k }`

Where,

• a = 1
• h = 0
• k = 0

`\sf \longrightarrow \:y= 1(x - 0)^(2) * 2 + 0`

`\sf \longrightarrow \: y = (x - 0) ^(2) * 2 + 0`

`\sf \longrightarrow \: y = {x}^(2) * 2`

`\sf \longrightarrow \: y = 2{x}^(2)`