Question

solve the equation by graphing the related function.\\(x^2 - 8x + 16 = 0\\)\\(\dots\\)graph the related function. choose the correct answer below.\\(\bigcirc\\) a. image\\(\bigcirc\\) b. image\\(\bigcirc\\) c. image\\(\bigcirc\\) d. image

Explanation:

Step1: Define related function

The related function is $y = x^2 - 8x + 16$.

Step2: Rewrite in vertex form

Factor the quadratic: $y=(x-4)^2$.

Step3: Identify vertex and direction

Vertex at $(4,0)$, parabola opens upward (since coefficient of $(x-4)^2$ is positive).

Step4: Match to graph

Find the graph with vertex at $(4,0)$ opening up.

Answer:

B. <The graph with vertex at (4,0) opening upward>