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.

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

Where,

• a = 1
• h = 0
• k = 0

$\sf \longrightarrow \:y= 1(x - 0)^{2} \times 2 + 0$

$\sf \longrightarrow \: y = (x - 0) ^{2} \times 2 + 0$

$\sf \longrightarrow \: y = {x}^{2} \times 2$

$\sf \longrightarrow \: y = 2{x}^{2}$