Quadratics and Horizontal Shifts
Part A:
Now apply what you read about vertical shifts.
What do you notice about the four graphs you graphed from the equations in the second set of equations you explored?
a) \(f(x) = x^2\)
b) \(f(x) = (x+2)^2\)
c) \(f(x) = (x-3)^2\)
d) \(f(x) = (x-5)^2\)
What conclusions can you draw? How do you know?
Part B:
Compare and contrast the two sets of graphs. What is similar? What is different?
Describe how you would translate a quadratic function vertically.
Describe how you would translate a quadratic function horizontally.
Check solutions here.
