Square Root Functions
Do the Graphing calculator investigation on page 396;1-3 in your textbook.
and an exercise on page 398;36
1.
domain
domain
domain
range
range
range
2.
domain
domain
domain
range
range
range
3. What is the equation of the parent function
translated three
units to the left?
36. Quadratic Function in vertex form
vertex is:
Square root Function
starting point is:
What affect do the following values have
on the graphs?
a
h
k
1
Find the equation of each graph. Then state its domain and range.
2
Follow the following steps:
Determine the domain by setting the radicand greater than or equal to zero.
Then write the domain in interval notation.
Use the starting x­value to find the starting y­value.
Graph the square root function on your calculator and verify the starting point.
Now write the range in interval notation.
If the graph has a y­intercept, solve for it algebraically by substituting in x = 0 and solve for y.
If the graph has a x­intercept, solve for it algebraically by substituting in y = 0 and solve for x.
3
4
Solve algebraically to find the x and or y intercept.
5
6