Quadratic Functions - Graphing and Transformations

According to the EOC reference sheet, what is vertex form of a quadratic function?

Which values do horizontal transformations effect?

• x-values

• y-values

Which values do vertical lines effect?

• x-values

• y-values

Name the transformation and the effect on f(x):

g(x) = f(-8x)

Name the transformation and the effect on f(x):

g(x) = 2f(x)

Name the transformation and the effect on f(x):

g(x) = f(2x)

• horizontal stretch, wider

• vertical stretch/reflection, thinner

• vertical compression, wider

• horizontal compression, thinner

Name the transformation and the effect of f(x):

g(x) = f(-x)

• vertical reflection, upside-down

• horizontal reflection, backwards

• horizontal reflection, upside-down

• vertical reflection, backwards

Name the transformation and the effect on f(x):

g(x) = 1/2f(x)

Name the transformation and the effect on f(x):

g(x) = f(1/2x)

• horizontal stretch, wider

• horizontal compression/reflection, thinner

• vertical stretch, thinner

• vertical compression/refection, wider

Name the transformation and the effect on f(x):

g(x) = -2f(x)