Question

graph the function (y = 5sqrt{x - 1} + 4).

compare the given equation with the general form and find the values.

match the items.
a. 4
b. 5
c. (1, 4)
d. 1

1. a
2. k
3. h
4. vertex

Explanation:

Identify the general form

Using the Function Transformations knowledge point

$$ y = a\sqrt{x - h} + k $$

Match the parameters

Using the Function Transformations knowledge point

$$
LATEXBLOCK0
$$

Determine the vertex

Using the Vertex of Radical Function knowledge point

$$ \text{Vertex} = (h, k) = (1, 4) $$

Match items to choices

Using the Function Transformations and Vertex of Radical Function knowledge points

$$
LATEXBLOCK1
$$

Answer:

No.	Problem	Answer
2	\(k\)	a
3	\(h\)	d
4	Vertex	c