Question

For which graph is the parent function y=x^2

Answer 1

y = x²  is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)

What is the standard equation of a parabola ?

The standard equation of a parabola is given by

y =a(x-h)² +k

Vertex at h , k

It is given that It has to be chosen from the options that whose parent function is

y = x²

As the plot of the first option is done , which is shown in the figure ,

The parabola is given by

y = (x +1)² +2

and the parent function is y = x²

Therefore the Option 1 is the answer.

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