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Track your progress across all skills in your objective. Mark your confidence level and identify areas to focus on.
Track your progress:
Don't know
Working on it
Confident
📖 = included in formula booklet • 🚫 = not in formula booklet
Track your progress:
Don't know
Working on it
Confident
📖 = included in formula booklet • 🚫 = not in formula booklet
Track your progress across all skills in your objective. Mark your confidence level and identify areas to focus on.
Track your progress:
Don't know
Working on it
Confident
📖 = included in formula booklet • 🚫 = not in formula booklet
Track your progress:
Don't know
Working on it
Confident
📖 = included in formula booklet • 🚫 = not in formula booklet
Track your progress across all skills in your objective. Mark your confidence level and identify areas to focus on.
Track your progress:
Don't know
Working on it
Confident
📖 = included in formula booklet • 🚫 = not in formula booklet
Track your progress:
Don't know
Working on it
Confident
📖 = included in formula booklet • 🚫 = not in formula booklet
The graph of y=f(x)+b can be obtained from the graph of y=f(x) by a vertical translation b units upwards (if b<0, the transformation may also be called a translation ∣b∣ units down).
The graph of y=f(x−a) can be obtained from the graph of y=f(x) by a horizontal translation a units to the right (if a<0, the transormation may also be called a translation ∣a∣ units to the left).
If a point P is translated by a vector (ab), apply a translation a units to the right and b units up:
The graph of y=pf(x) can be obtained from the graph of y=f(x) by a vertical stretch with scale factor p.
The graph of y=f(qx) can be obtained from the graph of y=f(x) by a horizontal stretch with scale factor q1.
The graph of y=−f(x) can be obtained from the graph of y=f(x) by a reflection in the x-axis.
The graph of y=f(−x) can be obtained from the graph of y=f(x) by a reflection in the y-axis.
Track your progress across all skills in your objective. Mark your confidence level and identify areas to focus on.
Track your progress:
Don't know
Working on it
Confident
📖 = included in formula booklet • 🚫 = not in formula booklet
Track your progress:
Don't know
Working on it
Confident
📖 = included in formula booklet • 🚫 = not in formula booklet
The graph of y=f(x)+b can be obtained from the graph of y=f(x) by a vertical translation b units upwards (if b<0, the transformation may also be called a translation ∣b∣ units down).
The graph of y=f(x−a) can be obtained from the graph of y=f(x) by a horizontal translation a units to the right (if a<0, the transormation may also be called a translation ∣a∣ units to the left).
If a point P is translated by a vector (ab), apply a translation a units to the right and b units up:
The graph of y=pf(x) can be obtained from the graph of y=f(x) by a vertical stretch with scale factor p.
The graph of y=f(qx) can be obtained from the graph of y=f(x) by a horizontal stretch with scale factor q1.
The graph of y=−f(x) can be obtained from the graph of y=f(x) by a reflection in the x-axis.
The graph of y=f(−x) can be obtained from the graph of y=f(x) by a reflection in the y-axis.