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If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function? A.g(x) = (x + 12)2 B.g(x) = (x – 12)2 C.g(x) = x2 – 12 D.g(x) = x2 + 12

Respuesta :

Answer:  The correct option is (A). [tex]g(x)=(x+12)^2.[/tex]

Step-by-step explanation:  Given that the equation of the quadratic parent function is

[tex]f(x)=x^2~~~~~~~~~~~~~~~~~~~~~~~~``(i)[/tex]

We are to find the equation of the new function after shifting the parent function (i) 12 units left.

Since we are shifting 12 units left, so there is a horizontal translation in the X-axis.

And the x co-ordinate becomes (x+12).

Therefore, the equation of the new function will be

[tex]g(x)=(x+12)^2.[/tex]

Thus, the required equation of the new function is [tex]g(x)=(x+12)^2.[/tex]

Option (A) is correct.

vanessatellez30

Answer:

f(x) = (x + 12)2

Step-by-step explanation:

A P E X

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