Question

x² - 6x + 9 = 0
graph the related function. choose the correct answer below.
oa.
graph a
ob.
graph b
oc.
graph c
od.
graph d

Explanation:

Step1: Define related function

The related function of $x^2 - 6x + 9 = 0$ is $y = x^2 - 6x + 9$.

Step2: Rewrite in vertex form

Factor the quadratic: $y=(x-3)^2$.

Step3: Identify key features

This is a parabola opening upward with vertex at $(3, 0)$, and it touches the x-axis at $x=3$.

Step4: Match to graph

A parabola opening up, vertex at positive x-value, touching x-axis at $x=3$ matches option B.

Answer:

B. (The graph of an upward-opening parabola with vertex at (3, 0) on the positive x-axis)