Question

Question was provided via image upload.

Explanation:

Identify the parent function and transformation

$$
LATEXBLOCK0
$$

Determine key points of the transformed graph

$$
LATEXBLOCK1
$$

Plot the parabola

$$ \text{Vertex at } (0, 4) \text{ opening upwards through } (1, 5) \text{ and } (2, 8). $$

Answer:

To graph the function \(g(x) = x^2 + 4\), shift the parent parabola \(f(x) = x^2\) vertically upward by 4 units.

The key points to plot are:

• Vertex: \((0, 4)\)
• Other points: \((1, 5)\), \((-1, 5)\), \((2, 8)\), and \((-2, 8)\)