1. y 2x 2 1 2) 4 5 4 - jefflongnuames.weebly.com€¦ · Lesson 6-2 Square Root Function . Quiz 6-2...
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Name: _______ Quiz 6-2 Period: ________ Graph (no calculator): 1. 1 2 x y 4 ) 2 ( 2 x y 3. 5 4 2 x y 2. What is the vertex of the parabola? Describe the transformation to the parent function represented by: 4. What is the equation of the graph?
Transcript of 1. y 2x 2 1 2) 4 5 4 - jefflongnuames.weebly.com€¦ · Lesson 6-2 Square Root Function . Quiz 6-2...
Name: _______ Quiz 6-2 Period: ________
Graph (no calculator):
1. 12 xy
4)2( 2 xy
3. 542 xy
2.
What is the vertex of the parabola?
Describe the transformation to the parent function represented by:
4. What is the equation of the graph?
Math-2ALesson 6-2
Square Root Function
Quiz 6-2Graph (no calculator):
1. 12 xy
4)2( 2 xy
3. 542 xy
2.
What is the vertex of the parabola?
Describe the transformation to the parent function
represented by:
(2, 4)
Reflected x-axis, VSF=2,
Left 4, Down 5.
4. What is the equation of the graph?
𝑦 = −2 𝑥 − 3 + 4
Where does fit on the number line?
“Square root”5
0 1 2 3 4 5 6 7 8
0 4 9 161 25 36 49 64
954
352
Some number (between 2 and 3) is the square root of 5.
What does mean? 5
Some number (between 2 and 3) is the square root of 5.
5x
Using the property of equality (same thing
left/right) this becomes:
22 5x
Which simplifies to:
52 x
5 Means: “What number squared is 5?”
What does mean? 3
Between what two whole numbers is ?
3x
32 x
3 means: “What number squared equals 3?”
3
431
231
Square Root Function xxf )(
Build a table of values for
each equation for domain
elements: 9, 4, 1, 0, -1
x y
9
4
1
0
-1
3
2
0
??
This is the first function, so
far, that does NOT have all
real numbers as the domain.
1
39 y
24 y
xy
11 y
00 y
iy 1
Square Root Function xxf )(
End point: (0, 0)
Right 1
Up 1
2xy
Square Function (quadratic function)
Vertex: (0, 0)
Right 1
Up 1
Absolute Value Function
xxf )(
Right 1
Up 1
Vertex: (0, 0)
Square Root Function xxf )(
Does the graph ever reach horizontal?
What is the domain of the graph? ) [0,
What is the range of the graph? ) [0,
Where is the function increasing? ) (0,x Where is the function decreasing? neverWhere is the function positive? ) (0,x
Where is the function negative? never
Hint: Find the endpoint. The y-value of the endpoint and
every y-value above is in the range.
Describe the transformations to the parent function:
34 xy Up 4, left 3 43 xy
What is the domain of the graph?
) [-3,x What is the range of the graph?
) [4,y
Hint: Find the endpoint.
The x-value of the endpoint
and every x-value to the
right is in the domain.End point: (-3, 4)
Describe the transformation to the parent function:
khxay )1(
423 xy
reflected (x-axis), VSF=2,
right 4, up 3
Where and what type of extrema does the function have??
What is the domain?
423 xy
Find endpoint: every x-value
from the endpoint and to the
right is in the domain.) [4,x
End point: (4, 3)What is the range?
Find endpoint: every y-value
from the endpoint and below
is in the range.
]3 ,(y Why is negative infinity the
first term in the interval?
It is the minimum y-value in
the range
(4, 3) is an absolute maximum.
What is the equation of the graph?
khxay )1(
Endpoint: right 1, down 2
Has it been vertically
stretched?
(from endpoint):
Right 1, up 3
213 xy
𝑦 = 𝑥 − 1 − 2
Right 1
Up 3
What is the domain?
) [1,x What is the range?
),2[y
Where is it increasing?
) (1,x
Where is it decreasing? never
What is the end behavior?
____y , x
___ y ,____ x
Right end: ∞
Left end (is the endpoint): -21
