Question

Choose the function that correctly identifies the transformation of f(x) = x2 shifted two units to the left and one unit down.

g(x) = (x - 2)2 - 1
g(x) = (x - 2)2 + 1
g(x) = (x + 2)2 + 1
g(x) = (x + 2)2 - 1

Answer 1

D) g(x) = (x + 2)^2 - 1

Answer 2

D) g(x) = (x + 2)^2 - 1

Explanation:

Here g(x) = x^2 is a quadratic function.

The vertex form is f(x) = a(x - h)^2 + k, where "h" represents the horizontal shift and "k" represents the vertical shift.

Here h = -2 and k = -1

Plugging the values, we get

g(x) = (x - (-2))^2 - 1

g(x) = (x + 2)^2 - 1

So the answer is D) g(x) = (x + 2)^2 - 1

Hope this will helpful.

Thank you.