Question

the graph of the function is a translation of the graph of (f(x) = x^2). graph the function.
(h(x) = (x - 3)^2 - 1)

Explanation:

Identify the vertex of the translated parabola

$$
LATEXBLOCK0
$$

Determine additional points on the graph

$$
LATEXBLOCK1
$$

Describe the geometric transformations

$$
LATEXBLOCK2
$$

Answer:

To graph the function \(h(x) = (x - 3)^2 - 1\), plot the parabola with the following key features:

• Vertex: \((3, -1)\)
• \(x\)-intercepts: \((2, 0)\) and \((4, 0)\)
• Other points: \((1, 3)\) and \((5, 3)\)