Question

plug in (a = 1) and (h \
eq 0) in the above function.
(y = \sqrt{x - h} + k)
set the expression (x - h = 0). i.e.,
(x - h = 0 \
ightarrow x = h)
if (h > 0), then shift the graph (h) units to the right, and vertex of the graph starts at ((h, k)).
if (h < 0), then shift the graph (h) units to the left, and vertex of the graph starts at ((-h, k)).

example 3
graph the function (y = \sqrt{x - 2}).

solution
value: 1
find the value of (h) in the given equation.
a. -2
b. 2
c. 1/2
d. -1/2

Explanation:

Identify the general form

Using the Square Root Function and Function Transformations knowledge points

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

Compare with the given equation

Using the Vertex of Radical Function knowledge point

$$
LATEXBLOCK0
$$

Answer:

• a. -2
• b. 2 (Correct answer)
• c. 1/2
• d. -1/2