Question

The graph of mc027-1.jpg is transformed as shown in the graph below. Which equation represents the transformed function?

Answer 1

I can’t see mc027-1.jpg here — could you either upload the image or describe the graphs (parent and transformed) and give a few key points (vertex or center, one or two other labeled points, asymptotes if any)? With that I’ll write the exact equation.

If you’d like to try it yourself, use this checklist:

1. Identify the parent function (common parents: y = x^2, y = |x|, y = √x, y = 1/x, y = x^3, etc.).
2. Locate the reference point:
- For quadratics/absolute value/cubics/square-root: find the vertex or corner (h,k).
- For rationals/hyperbolas: find the center/asymptotes y = k and x = h.
3. Read off horizontal and vertical shifts: the transformed function will have x replaced by (x − h) and the whole function shifted up/down by +k.
4. Determine reflections and stretches:
- A vertical reflection is a negative sign in front (y = −a·f(...)).
- A vertical stretch/compression multiplies the whole f(...) by a (find a by comparing a non-reference point: a = (new y − k)/old y).
- A horizontal stretch/compression uses factor b inside: f(b(x − h)). If you know which original x0 maps to new x1 then b = x0/(x1 − h).
5. Assemble: y = a · f( b(x − h) ) + k.

If you upload the picture or tell me the parent and 2–3 corresponding points (or vertex/center and one other point), I’ll produce the exact transformed equation.