Solving for x
x + 7 = -5
-12
Compared to the graph of y = x2, describe the shift that occurs in the graph of y = (x + 4)2.
shifts left 4 units
True or False: x is called the independent variable
True
y = x
linear
5 - x = 14
-9
Compared to the graph of y = |x|, describe the shift that occurs in the graph of y = |x| + 8.
shifts up 8 units
You have the equation: y = x2 - 7. Find the y-value that corresponds to an x-value of 5.
18
y = x2
quadratic
2x + 15 = 29
7
Compared to the graph of y = √x, describe the shift that occurs in the graph of y = -√x.
reflected (flipped) across x-axis
You have the equation: y = 4x - 7. Find the x-value that corresponds to a y-value of 1.
2
How to test if a graph represents a function
Vertical Line Test
5x - 8 = 3x + 2
5
Compared to the graph of y = |x|, describe the shifts (2) that occur in the graph of y = |x - 3| - 4.
shifts right 3
shifts down 4
y = 2x - 3
3x + y = 17
x = 4
y = 5
y = 2x
exponential
2(8 - x) = 3x - 4
4
Compared to the graph of y = x2, describe the shifts (3) that occur in the graph of y = -5(x + 1)2.
shifts left 1
reflected across x-axis
stretched
4x + 2y = 16
3x - 2y = 5
x = 3
y = 2
y = 1/x
rational