Question

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?

2 units left and 3 units up
2 units left and 3 units down
2 units right and 3 units up
2 units right and 3 units down

Answer 1

Answer:

2 units right and 3 units up. just took the test this is VERY correct

Answer 2

Answer:

Option C is the answer.

Step-by-step explanation:

Graph represented by y = (x + 2)² is a quadratic function or a parabola.

This equation is in the vertex form y = (x -h)² + k

where (h, k) is the vertex.

So in the graph y = (x + 2)², vertex is (-2, 0)

Now the translated form of the parabola is y = x² + 3

In this equation vertex is (0, -3)

We can now easily find the translation of vertex (-2, 0) to (0, 3)

Horizontal shift = 0 - (-2) = +2

Vertical shift = 3 - 0 = +3

Therefore, a horizontal shift of 2 units right and vertical shift of 3 units up has been done in the parent function.

Option C. is the answer.