Fill in the blank
The _____ is the point where the graph of an absolute value function changes directions.
Vertex
Solve: /5x - 7/ = -5
no solution
Solve: /y-3/ > 4
y < -1 or y > 7
Give the transformations from the parent graph.
y = / x - 2 /
2 right
Give the vertex of the following:
y < (4/3) / x + 4 / - 2
( -4, 2 )
If the value of a in the absolute value equation or inequality the graph is ________.
Flipped
Reflected
Solve: /2x + 3/ - 1 = 8
x = 3 or x = -6
4/y+2/ < 16
-6 < y < 2
Give the transformations from the parent graph.
y = (1/3) / x + 1 /
left 1
vertically compressed by 1/3
Give the axis of symmetry of the following:
y < (-1/2) / x - 7 / + 4
x = 7
x = h is the equation for the ______ of ______.
axis of symmetry
Solve: 2/ 5x - 3 / - 4 = 20
x = 3 or x = -9/5
Solve: / 6y-2/ +4 < 22
-16/6 < y < 20/6
-8/3 < y < 10/3
Give the transformations from the parent graph.
y > - / x - 7 / + 2
reflected over x- axis
right 7
up 2
Find the vertex and axis of symmetry for the following:
y > (-1/3) / x-4 / + 8
( 4, 8 )
x = 4
If you know the value of h and k you can find both the ________ and the ______ of _____.
Vertex
Axis of symmetry
Solve: 4 / 2x + 1 / + 2 = 18
x = 3/2 or x = -5/2
Solve: 2 /5x-3/ < 20
-7/5 < x < 13/5
Give the transformations from the parent graph.
y < (-1/9) / x - 3 / +4
Reflected over the x-axis
right 3
up 4
vertically compressed by 1/9
Give the y-intercept of the following:
y < 5 / x + 3 / - 3
( 0, 12 )
In order to solve an absolute value equation you must first isolate the _________ ________.
absolute value
Solve: / 2x - 3 / = 4x -1
x = -1 or x = 2/3
Solve: (1/9) /5x-3/ - 3 > 2
x < -42/5 or x > 48/5
Give the transformations from the parent graph.
y > (7/5) / x + 5 / - 2
left 5
down 2
vertically compressed by 7/5
Give the x-intercepts of the following:
y < 2 / x - 1 / + 4
NONE