Question

The parent function for a quadratic is represented by f(x) = x2. Mercedes' states that only a stretch and horizontal translation would be represented by f(x) = -(x + 7)? Is she correct? Justify.

Answer 1

No, Mercedes is not correct. The given function represents a reflection and horizontal translation, not just a stretch and horizontal translation.

Step-by-step explanation:

No, Mercedes is not correct. The function f(x) = -(x + 7) represents a horizontal translation to the left by 7 units and a reflection about the x-axis. The negative sign in front of the function reflects the graph about the x-axis, resulting in a downward opening quadratic function. So, the given function represents a reflection and translation, not just a stretch and horizontal translation.